Find the level of significance. State the null and alternative hypothesis.

Question

A researcher wishes to estimate, with 90% confidence, the population proportion of adults who support labeling legislation for genetically modified organisms (GMOs). Her estimate must be accurate within 4% of the true proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 65% of the respondents said they support labeling legislation for GMOs. (c) Compare the results from parts (a) and (b). ... (a) What is the minimum sample size needed assuming that no prior information is available? n = (Round up to the nearest whole number as needed.)

Answer 1

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.3, Problem 21P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

(e)

To determine

Interpret the conclusion in the context of the application.

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A researcher wishes to estimate, with 90% confidence, the population proportion of adults who support labeling legislation for genetically modified organisms (GMOs). Her estimate must be accurate within 4% of the true proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 65% of the respondents said they support labeling legislation for GMOs. (c) Compare the results from parts (a) and (b). ... (a) What is the minimum sample size needed assuming that no prior information is available? n = (Round up to the nearest whole number as needed.)

The table available below shows the costs per mile (in cents) for a sample of automobiles. At a = 0.05, can you conclude that at least one mean cost per mile is different from the others? Click on the icon to view the data table. Let Hss, HMS, HLS, Hsuv and Hмy represent the mean costs per mile for small sedans, medium sedans, large sedans, SUV 4WDs, and minivans respectively. What are the hypotheses for this test? OA. Ho: Not all the means are equal. Ha Hss HMS HLS HSUV HMV B. Ho Hss HMS HLS HSUV = μMV Ha: Hss *HMS *HLS*HSUV * HMV C. Ho Hss HMS HLS HSUV =μMV = = H: Not all the means are equal. D. Ho Hss HMS HLS HSUV HMV Ha Hss HMS HLS =HSUV = HMV

Question: A company launches two different marketing campaigns to promote the same product in two different regions. After one month, the company collects the sales data (in units sold) from both regions to compare the effectiveness of the campaigns. The company wants to determine whether there is a significant difference in the mean sales between the two regions. Perform a two sample T-test You can provide your answer by inserting a text box and the answer must include: Null hypothesis, Alternative hypothesis, Show answer (output table/summary table), and Conclusion based on the P value. (2 points = 0.5 x 4 Answers) Each of these is worth 0.5 points. However, showing the calculation is must. If calculation is missing, the whole answer won't get any credit.

Answer 2

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.3, Problem 21P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

(e)

To determine

Interpret the conclusion in the context of the application.

Expert Solution & Answer

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Answer 3

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.3, Problem 21P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

(e)

To determine

Interpret the conclusion in the context of the application.

Expert Solution & Answer

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Answer 4

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.3, Problem 21P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

(e)

To determine

Interpret the conclusion in the context of the application.

Expert Solution & Answer

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Answer 5

Chapter 8.3, Problem 21P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

(e)

To determine

Interpret the conclusion in the context of the application.

Answer 6

Chapter 8.3, Problem 21P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

Answer 7

Chapter 8.3, Problem 21P

(a)

To determine

Find the level of significance.

State the null and alternative hypothesis.

Answer 8

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

Answer 9

(b)

To determine

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

Answer 10

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

Answer 11

(c)

To determine

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

Answer 12

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

Answer 13

(d)

To determine

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

Answer 14

(e)

To determine

Interpret the conclusion in the context of the application.

Answer 15

(e)

To determine

Interpret the conclusion in the context of the application.

Answer 16

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Answer 27

Find the level of significance. State the null and alternative hypothesis.

Solution Summary: The author states the null hypothesis and the alternative hypothesis.

Videos

Find the level of significance.

State the null and alternative hypothesis.

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.

Interpret the conclusion in the context of the application.

Chapter 8 Solutions

Find the level of significance. State the null and alternative hypothesis.

Solution Summary: The author states the null hypothesis and the alternative hypothesis.

Videos

Find the level of significance. State the null and alternative hypothesis.

Identify the sampling distribution to be used. Identify whether the sample size is sufficiently large or not. Find the value of the sample test statistic. Find the z value.

Find the P-value. Draw the sampling distribution by showing the area corresponding to the P-value.

Check whether the null hypothesis is rejecting or fail to reject. Identify whether the data statistically significant at level 0.01 or not.

Interpret the conclusion in the context of the application.

Chapter 8 Solutions

Find the level of significance.

State the null and alternative hypothesis.

Identify the sampling distribution to be used.

Identify whether the sample size is sufficiently large or not.

Find the value of the sample test statistic.

Find the z value.

Find the P-value.

Draw the sampling distribution by showing the area corresponding to the P-value.

Check whether the null hypothesis is rejecting or fail to reject.

Identify whether the data statistically significant at level 0.01 or not.