In Exercises 1−4. (a) identify the claim and state H 0 and H a , (b) find the critical value and identify the rejection region, (c) find the chi-square test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. 2 . A researcher claims that the distribution of the amounts that parents give for an allowance is different from the distribution shown in the pie chart. You randomly select 1103 parents and ask them how much they give for an allowance. The table shows the results. At α = 0.10, test the researcher’s claim. (Adapted from Echo Research ) Survey results Response Frequency, f Less than $10 353 $10 to $20 167 More than $21 94 Don't give one/other 489

Question

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Answer 1

Textbook Question

Chapter 10, Problem 10.1.1RE

In Exercises 1−4. (a) identify the claim and state H₀ and H_a, (b) find the critical value and identify the rejection region, (c) find the chi-square test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.

2. A researcher claims that the distribution of the amounts that parents give for an allowance is different from the distribution shown in the pie chart. You randomly select 1103 parents and ask them how much they give for an allowance. The table shows the results. At α = 0.10, test the researcher’s claim. (Adapted from Echo Research)

Survey results
Response	*Frequency, f*
Less than $10	353
$10 to $20	167
More than $21	94
Don't give one/other	489

Chapter 10, Problem 10.1.1RE, In Exercises 14. (a) identify the claim and state H0 and Ha, (b) find the critical value and

a.

Expert Solution

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

Answer to Problem 10.1.1RE

The claim is that, the distribution of amounts differs from the expected distribution.

The hypothesis H0 and Ha is,

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Ha: The distribution of amounts differs from the expected distribution.

Explanation of Solution

Given info:

The data shows the results of the distribution of the amounts that parent give for allowance.

Calculation:

Here, the distribution of amounts differs from the expected distribution is tested. Hence, the claim is that the distribution of amounts differs from the expected distribution.

The hypotheses are given below:

Null hypothesis:

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Alternative hypothesis:

Ha: The distribution of amounts differs from the expected distribution.

b.

Expert Solution

To determine

To obtain: The critical value.

To identify: The rejection region.

Answer to Problem 10.1.1RE

The critical value is 6.251.

The rejection region is χ2>6.251 .

Explanation of Solution

Given info:

The level of significance is 0.10.

Calculation:

Critical value:

The critical value is calculated by using the (k−1) degrees of freedom.

Substitute k as 4 in degrees of freedom.

4−1=3

From the Table 6-Chi-Square Distribution, the critical value for 3 degrees of freedom for α=0.10 level of significance is 6.251.

Rejection region:

The null hypothesis would be rejected if χ2>6.251 .

Thus, the rejection region is χ2>6.251 .

c.

Expert Solution

To determine

To obtain: The chi-square test statistic.

Answer to Problem 10.1.1RE

The chi-square test statistic is 4.886.

Explanation of Solution

Calculation:

Step by step procedure to obtain chi-square test statistic using the MINITAB software:

Choose Stat > Tables > Chi-Square Goodness-of-Fit Test (One Variable).
In Observed counts, enter the column of Frequency.
In Category names, enter the column of Response.
Under Test, select the column of Proportions in Proportions specified by historical counts.
Click OK.

Output using the MINITAB software is given below:

Elementary Statistics: Picturing the World (6th Edition), Chapter 10, Problem 10.1.1RE

Thus, the chi-square test statistic value is approximately 4.886.

d.

Expert Solution

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

Answer to Problem 10.1.1RE

The null hypothesis is fails to reject.

Explanation of Solution

Conclusion:

From the result of (c), the test-statistic value is 4.886.

Here, the chi-square test statistic value is lesser than the critical value.

That is, 4.886<6.251 .

Thus, it can be conclude that the null hypothesis fails to reject.

e.

Expert Solution

To determine

To interpret: The decision in the context of the original claim.

Answer to Problem 10.1.1RE

The conclusion is that, there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.

Explanation of Solution

Interpretation:

From the results of part (d), it can be conclude that there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.

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Students have asked these similar questions

1 for all k, and set o (ii) Let X1, X2, that P(Xkb) = x > 0. Xn be independent random variables with mean 0, suppose = and Var Xk. Then, for 0x) ≤2 exp-tx+121 Στ k=1

Lemma 1.1 Suppose that g is a non-negative, non-decreasing function such that E g(X) 0. Then, E g(|X|) P(|X|> x) ≤ g(x)

Proof of this Theorem Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and set Var X = o². Then, for 0 0, P(X > x) ≤ e−1x+1²², P(|X|> x) ≤ 2e−x+1² 0²

Answer 2

Textbook Question

Chapter 10, Problem 10.1.1RE

In Exercises 1−4. (a) identify the claim and state H₀ and H_a, (b) find the critical value and identify the rejection region, (c) find the chi-square test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.

2. A researcher claims that the distribution of the amounts that parents give for an allowance is different from the distribution shown in the pie chart. You randomly select 1103 parents and ask them how much they give for an allowance. The table shows the results. At α = 0.10, test the researcher’s claim. (Adapted from Echo Research)

Survey results
Response	*Frequency, f*
Less than $10	353
$10 to $20	167
More than $21	94
Don't give one/other	489

Chapter 10, Problem 10.1.1RE, In Exercises 14. (a) identify the claim and state H0 and Ha, (b) find the critical value and

a.

Expert Solution

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

Answer to Problem 10.1.1RE

The claim is that, the distribution of amounts differs from the expected distribution.

The hypothesis H0 and Ha is,

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Ha: The distribution of amounts differs from the expected distribution.

Explanation of Solution

Given info:

The data shows the results of the distribution of the amounts that parent give for allowance.

Calculation:

Here, the distribution of amounts differs from the expected distribution is tested. Hence, the claim is that the distribution of amounts differs from the expected distribution.

The hypotheses are given below:

Null hypothesis:

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Alternative hypothesis:

Ha: The distribution of amounts differs from the expected distribution.

b.

Expert Solution

To determine

To obtain: The critical value.

To identify: The rejection region.

Answer to Problem 10.1.1RE

The critical value is 6.251.

The rejection region is χ2>6.251 .

Explanation of Solution

Given info:

The level of significance is 0.10.

Calculation:

Critical value:

The critical value is calculated by using the (k−1) degrees of freedom.

Substitute k as 4 in degrees of freedom.

4−1=3

From the Table 6-Chi-Square Distribution, the critical value for 3 degrees of freedom for α=0.10 level of significance is 6.251.

Rejection region:

The null hypothesis would be rejected if χ2>6.251 .

Thus, the rejection region is χ2>6.251 .

c.

Expert Solution

To determine

To obtain: The chi-square test statistic.

Answer to Problem 10.1.1RE

The chi-square test statistic is 4.886.

Explanation of Solution

Calculation:

Step by step procedure to obtain chi-square test statistic using the MINITAB software:

Choose Stat > Tables > Chi-Square Goodness-of-Fit Test (One Variable).
In Observed counts, enter the column of Frequency.
In Category names, enter the column of Response.
Under Test, select the column of Proportions in Proportions specified by historical counts.
Click OK.

Output using the MINITAB software is given below:

Elementary Statistics: Picturing the World (6th Edition), Chapter 10, Problem 10.1.1RE

Thus, the chi-square test statistic value is approximately 4.886.

d.

Expert Solution

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

Answer to Problem 10.1.1RE

The null hypothesis is fails to reject.

Explanation of Solution

Conclusion:

From the result of (c), the test-statistic value is 4.886.

Here, the chi-square test statistic value is lesser than the critical value.

That is, 4.886<6.251 .

Thus, it can be conclude that the null hypothesis fails to reject.

e.

Expert Solution

To determine

To interpret: The decision in the context of the original claim.

Answer to Problem 10.1.1RE

The conclusion is that, there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.

Explanation of Solution

Interpretation:

From the results of part (d), it can be conclude that there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.

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Answer 3

Textbook Question

Chapter 10, Problem 10.1.1RE

In Exercises 1−4. (a) identify the claim and state H₀ and H_a, (b) find the critical value and identify the rejection region, (c) find the chi-square test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.

2. A researcher claims that the distribution of the amounts that parents give for an allowance is different from the distribution shown in the pie chart. You randomly select 1103 parents and ask them how much they give for an allowance. The table shows the results. At α = 0.10, test the researcher’s claim. (Adapted from Echo Research)

Survey results
Response	*Frequency, f*
Less than $10	353
$10 to $20	167
More than $21	94
Don't give one/other	489

Chapter 10, Problem 10.1.1RE, In Exercises 14. (a) identify the claim and state H0 and Ha, (b) find the critical value and

a.

Expert Solution

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

Answer to Problem 10.1.1RE

The claim is that, the distribution of amounts differs from the expected distribution.

The hypothesis H0 and Ha is,

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Ha: The distribution of amounts differs from the expected distribution.

Explanation of Solution

Given info:

The data shows the results of the distribution of the amounts that parent give for allowance.

Calculation:

Here, the distribution of amounts differs from the expected distribution is tested. Hence, the claim is that the distribution of amounts differs from the expected distribution.

The hypotheses are given below:

Null hypothesis:

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Alternative hypothesis:

Ha: The distribution of amounts differs from the expected distribution.

b.

Expert Solution

To determine

To obtain: The critical value.

To identify: The rejection region.

Answer to Problem 10.1.1RE

The critical value is 6.251.

The rejection region is χ2>6.251 .

Explanation of Solution

Given info:

The level of significance is 0.10.

Calculation:

Critical value:

The critical value is calculated by using the (k−1) degrees of freedom.

Substitute k as 4 in degrees of freedom.

4−1=3

From the Table 6-Chi-Square Distribution, the critical value for 3 degrees of freedom for α=0.10 level of significance is 6.251.

Rejection region:

The null hypothesis would be rejected if χ2>6.251 .

Thus, the rejection region is χ2>6.251 .

c.

Expert Solution

To determine

To obtain: The chi-square test statistic.

Answer to Problem 10.1.1RE

The chi-square test statistic is 4.886.

Explanation of Solution

Calculation:

Step by step procedure to obtain chi-square test statistic using the MINITAB software:

Choose Stat > Tables > Chi-Square Goodness-of-Fit Test (One Variable).
In Observed counts, enter the column of Frequency.
In Category names, enter the column of Response.
Under Test, select the column of Proportions in Proportions specified by historical counts.
Click OK.

Output using the MINITAB software is given below:

Elementary Statistics: Picturing the World (6th Edition), Chapter 10, Problem 10.1.1RE

Thus, the chi-square test statistic value is approximately 4.886.

d.

Expert Solution

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

Answer to Problem 10.1.1RE

The null hypothesis is fails to reject.

Explanation of Solution

Conclusion:

From the result of (c), the test-statistic value is 4.886.

Here, the chi-square test statistic value is lesser than the critical value.

That is, 4.886<6.251 .

Thus, it can be conclude that the null hypothesis fails to reject.

e.

Expert Solution

To determine

To interpret: The decision in the context of the original claim.

Answer to Problem 10.1.1RE

The conclusion is that, there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.

Explanation of Solution

Interpretation:

From the results of part (d), it can be conclude that there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.

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Answer 4

Textbook Question

Chapter 10, Problem 10.1.1RE

In Exercises 1−4. (a) identify the claim and state H₀ and H_a, (b) find the critical value and identify the rejection region, (c) find the chi-square test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.

2. A researcher claims that the distribution of the amounts that parents give for an allowance is different from the distribution shown in the pie chart. You randomly select 1103 parents and ask them how much they give for an allowance. The table shows the results. At α = 0.10, test the researcher’s claim. (Adapted from Echo Research)

Survey results
Response	*Frequency, f*
Less than $10	353
$10 to $20	167
More than $21	94
Don't give one/other	489

Chapter 10, Problem 10.1.1RE, In Exercises 14. (a) identify the claim and state H0 and Ha, (b) find the critical value and

a.

Expert Solution

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

Answer to Problem 10.1.1RE

The claim is that, the distribution of amounts differs from the expected distribution.

The hypothesis H0 and Ha is,

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Ha: The distribution of amounts differs from the expected distribution.

Explanation of Solution

Given info:

The data shows the results of the distribution of the amounts that parent give for allowance.

Calculation:

Here, the distribution of amounts differs from the expected distribution is tested. Hence, the claim is that the distribution of amounts differs from the expected distribution.

The hypotheses are given below:

Null hypothesis:

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Alternative hypothesis:

Ha: The distribution of amounts differs from the expected distribution.

b.

Expert Solution

To determine

To obtain: The critical value.

To identify: The rejection region.

Answer to Problem 10.1.1RE

The critical value is 6.251.

The rejection region is χ2>6.251 .

Explanation of Solution

Given info:

The level of significance is 0.10.

Calculation:

Critical value:

The critical value is calculated by using the (k−1) degrees of freedom.

Substitute k as 4 in degrees of freedom.

4−1=3

From the Table 6-Chi-Square Distribution, the critical value for 3 degrees of freedom for α=0.10 level of significance is 6.251.

Rejection region:

The null hypothesis would be rejected if χ2>6.251 .

Thus, the rejection region is χ2>6.251 .

c.

Expert Solution

To determine

To obtain: The chi-square test statistic.

Answer to Problem 10.1.1RE

The chi-square test statistic is 4.886.

Explanation of Solution

Calculation:

Step by step procedure to obtain chi-square test statistic using the MINITAB software:

Choose Stat > Tables > Chi-Square Goodness-of-Fit Test (One Variable).
In Observed counts, enter the column of Frequency.
In Category names, enter the column of Response.
Under Test, select the column of Proportions in Proportions specified by historical counts.
Click OK.

Output using the MINITAB software is given below:

Elementary Statistics: Picturing the World (6th Edition), Chapter 10, Problem 10.1.1RE

Thus, the chi-square test statistic value is approximately 4.886.

d.

Expert Solution

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

Answer to Problem 10.1.1RE

The null hypothesis is fails to reject.

Explanation of Solution

Conclusion:

From the result of (c), the test-statistic value is 4.886.

Here, the chi-square test statistic value is lesser than the critical value.

That is, 4.886<6.251 .

Thus, it can be conclude that the null hypothesis fails to reject.

e.

Expert Solution

To determine

To interpret: The decision in the context of the original claim.

Answer to Problem 10.1.1RE

The conclusion is that, there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.

Explanation of Solution

Interpretation:

From the results of part (d), it can be conclude that there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

a.

Expert Solution

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

Answer to Problem 10.1.1RE

The claim is that, the distribution of amounts differs from the expected distribution.

The hypothesis H0 and Ha is,

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Ha: The distribution of amounts differs from the expected distribution.

Explanation of Solution

Given info:

The data shows the results of the distribution of the amounts that parent give for allowance.

Calculation:

Here, the distribution of amounts differs from the expected distribution is tested. Hence, the claim is that the distribution of amounts differs from the expected distribution.

The hypotheses are given below:

Null hypothesis:

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Alternative hypothesis:

Ha: The distribution of amounts differs from the expected distribution.

b.

Expert Solution

To determine

To obtain: The critical value.

To identify: The rejection region.

Answer to Problem 10.1.1RE

The critical value is 6.251.

The rejection region is χ2>6.251 .

Explanation of Solution

Given info:

The level of significance is 0.10.

Calculation:

Critical value:

The critical value is calculated by using the (k−1) degrees of freedom.

Substitute k as 4 in degrees of freedom.

4−1=3

From the Table 6-Chi-Square Distribution, the critical value for 3 degrees of freedom for α=0.10 level of significance is 6.251.

Rejection region:

The null hypothesis would be rejected if χ2>6.251 .

Thus, the rejection region is χ2>6.251 .

c.

Expert Solution

To determine

To obtain: The chi-square test statistic.

Answer to Problem 10.1.1RE

The chi-square test statistic is 4.886.

Explanation of Solution

Calculation:

Step by step procedure to obtain chi-square test statistic using the MINITAB software:

Choose Stat > Tables > Chi-Square Goodness-of-Fit Test (One Variable).
In Observed counts, enter the column of Frequency.
In Category names, enter the column of Response.
Under Test, select the column of Proportions in Proportions specified by historical counts.
Click OK.

Output using the MINITAB software is given below:

Elementary Statistics: Picturing the World (6th Edition), Chapter 10, Problem 10.1.1RE

Thus, the chi-square test statistic value is approximately 4.886.

d.

Expert Solution

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

Answer to Problem 10.1.1RE

The null hypothesis is fails to reject.

Explanation of Solution

Conclusion:

From the result of (c), the test-statistic value is 4.886.

Here, the chi-square test statistic value is lesser than the critical value.

That is, 4.886<6.251 .

Thus, it can be conclude that the null hypothesis fails to reject.

e.

Expert Solution

To determine

To interpret: The decision in the context of the original claim.

Answer to Problem 10.1.1RE

The conclusion is that, there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.

Explanation of Solution

Interpretation:

From the results of part (d), it can be conclude that there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.

Answer 8

a.

Expert Solution

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

Answer to Problem 10.1.1RE

The claim is that, the distribution of amounts differs from the expected distribution.

The hypothesis H0 and Ha is,

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Ha: The distribution of amounts differs from the expected distribution.

Explanation of Solution

Given info:

The data shows the results of the distribution of the amounts that parent give for allowance.

Calculation:

Here, the distribution of amounts differs from the expected distribution is tested. Hence, the claim is that the distribution of amounts differs from the expected distribution.

The hypotheses are given below:

Null hypothesis:

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Alternative hypothesis:

Ha: The distribution of amounts differs from the expected distribution.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

To identify: The claim.

To state: The hypothesis H0 and Ha .

Answer 13

Answer to Problem 10.1.1RE

The claim is that, the distribution of amounts differs from the expected distribution.

The hypothesis H0 and Ha is,

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Ha: The distribution of amounts differs from the expected distribution.

Answer 14

Explanation of Solution

Given info:

The data shows the results of the distribution of the amounts that parent give for allowance.

Calculation:

Here, the distribution of amounts differs from the expected distribution is tested. Hence, the claim is that the distribution of amounts differs from the expected distribution.

The hypotheses are given below:

Null hypothesis:

H0: The distribution of the allowance amounts is 29% less than $10, 16% $10 to $20, 9% more than $21 and 46% don’t give one/other.

Alternative hypothesis:

Ha: The distribution of amounts differs from the expected distribution.

Answer 15

b.

Expert Solution

To determine

To obtain: The critical value.

To identify: The rejection region.

Answer to Problem 10.1.1RE

The critical value is 6.251.

The rejection region is χ2>6.251 .

Explanation of Solution

Given info:

The level of significance is 0.10.

Calculation:

Critical value:

The critical value is calculated by using the (k−1) degrees of freedom.

Substitute k as 4 in degrees of freedom.

4−1=3

From the Table 6-Chi-Square Distribution, the critical value for 3 degrees of freedom for α=0.10 level of significance is 6.251.

Rejection region:

The null hypothesis would be rejected if χ2>6.251 .

Thus, the rejection region is χ2>6.251 .

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

To obtain: The critical value.

To identify: The rejection region.

Answer 20

Answer to Problem 10.1.1RE

The critical value is 6.251.

The rejection region is χ2>6.251 .

Answer 21

Explanation of Solution

Given info:

The level of significance is 0.10.

Calculation:

Critical value:

The critical value is calculated by using the (k−1) degrees of freedom.

Substitute k as 4 in degrees of freedom.

4−1=3

From the Table 6-Chi-Square Distribution, the critical value for 3 degrees of freedom for α=0.10 level of significance is 6.251.

Rejection region:

The null hypothesis would be rejected if χ2>6.251 .

Thus, the rejection region is χ2>6.251 .

Answer 22

c.

Expert Solution

To determine

To obtain: The chi-square test statistic.

Answer to Problem 10.1.1RE

The chi-square test statistic is 4.886.

Explanation of Solution

Calculation:

Step by step procedure to obtain chi-square test statistic using the MINITAB software:

Choose Stat > Tables > Chi-Square Goodness-of-Fit Test (One Variable).
In Observed counts, enter the column of Frequency.
In Category names, enter the column of Response.
Under Test, select the column of Proportions in Proportions specified by historical counts.
Click OK.

Output using the MINITAB software is given below:

Elementary Statistics: Picturing the World (6th Edition), Chapter 10, Problem 10.1.1RE

Thus, the chi-square test statistic value is approximately 4.886.

Answer 23

c.

Expert Solution

Answer 24

c.

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

To obtain: The chi-square test statistic.

Answer 27

Answer to Problem 10.1.1RE

The chi-square test statistic is 4.886.

Answer 28

Explanation of Solution

Calculation:

Step by step procedure to obtain chi-square test statistic using the MINITAB software:

Choose Stat > Tables > Chi-Square Goodness-of-Fit Test (One Variable).
In Observed counts, enter the column of Frequency.
In Category names, enter the column of Response.
Under Test, select the column of Proportions in Proportions specified by historical counts.
Click OK.

Output using the MINITAB software is given below:

Elementary Statistics: Picturing the World (6th Edition), Chapter 10, Problem 10.1.1RE

Thus, the chi-square test statistic value is approximately 4.886.

Answer 29

d.

Expert Solution

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

Answer to Problem 10.1.1RE

The null hypothesis is fails to reject.

Explanation of Solution

Conclusion:

From the result of (c), the test-statistic value is 4.886.

Here, the chi-square test statistic value is lesser than the critical value.

That is, 4.886<6.251 .

Thus, it can be conclude that the null hypothesis fails to reject.

Answer 30

d.

Expert Solution

Answer 31

d.

Expert Solution

Answer 32

Expert Solution

Answer 33

To determine

To check: Whether the null hypothesis is rejected or fails to reject.

Answer 34

Answer to Problem 10.1.1RE

The null hypothesis is fails to reject.

Answer 35

Explanation of Solution

Conclusion:

From the result of (c), the test-statistic value is 4.886.

Here, the chi-square test statistic value is lesser than the critical value.

That is, 4.886<6.251 .

Thus, it can be conclude that the null hypothesis fails to reject.

Answer 36

e.

Expert Solution

To determine

To interpret: The decision in the context of the original claim.

Answer to Problem 10.1.1RE

The conclusion is that, there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.

Explanation of Solution

Interpretation:

From the results of part (d), it can be conclude that there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.

Answer 37

e.

Expert Solution

Answer 38

e.

Expert Solution

Answer 39

Expert Solution

Answer 40

To determine

To interpret: The decision in the context of the original claim.

Answer 41

Answer to Problem 10.1.1RE

The conclusion is that, there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.

Answer 42

Explanation of Solution

Interpretation:

From the results of part (d), it can be conclude that there is no evidence to support the claim that the distribution of amounts differs from the expected distribution.