The following table shows age distribution and location of a random sample of Lamar District Nez Perce District 13 10 Age Calf Yearling Adult Column Total USE SALT 16 12 38 66 State the null and alternate hypotheses. OHO: Age distribution and location are not independent. H₁: Age distribution and location are not independent. OH: Age distribution and location are independent. H₁: Age distribution and location are independent. 25 48 Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance (a) What is the level of significance? OH: Age distribution and location are independent. H₁: Age distribution and location are not independent. O Ho: Age distribution and location are not independent. H₁: Age distribution and location are independent. Are all the expected frequencies greater than 5? OYes O No Firehole District What sampling distribution will you use? O uniform O binomial O normal 12 11 29 52 Row Total 41 33 92 166 (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least thre- decimal places. Round the test statistic to three decimal places.)
The following table shows age distribution and location of a random sample of Lamar District Nez Perce District 13 10 Age Calf Yearling Adult Column Total USE SALT 16 12 38 66 State the null and alternate hypotheses. OHO: Age distribution and location are not independent. H₁: Age distribution and location are not independent. OH: Age distribution and location are independent. H₁: Age distribution and location are independent. 25 48 Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance (a) What is the level of significance? OH: Age distribution and location are independent. H₁: Age distribution and location are not independent. O Ho: Age distribution and location are not independent. H₁: Age distribution and location are independent. Are all the expected frequencies greater than 5? OYes O No Firehole District What sampling distribution will you use? O uniform O binomial O normal 12 11 29 52 Row Total 41 33 92 166 (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least thre- decimal places. Round the test statistic to three decimal places.)
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Transcribed Image Text:The following table shows age distribution and location of a random sample of 166 buffalo in a national park.
Lamar District
Nez Perce District Firehole District
13
10
25
48
Age
Calf
Yearling/
Adult
Column Total
USE SALT
16
12
38
66
State the null and alternate hypotheses.
OH: Age distribution and location are not independent.
H₁: Age distribution and location are not independent.
Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance.
(a) What is the level of significance?
OH: Age distribution and location are independent.
H₁: Age distribution and location are independent.
OH: Age distribution and location are independent.
H₁: Age distribution and location are not independent.
O Ho: Age distribution and location are not independent.
H₁: Age distribution and location are independent.
12
11
29
52
Are all the expected frequencies greater than 5?
O Yes
O No
Row Total
41
33
92
166
(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three
decimal places. Round the test statistic to three decimal places.)
What sampling distribution will you use?
O uniform
Obinomial
O normal
O chi-square
O Student's t

Transcribed Image Text:What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
O p-value> 0.100
O 0.050 < p-value < 0.100
O 0.025 p-value < 0.050
O 0.010 < p-value < 0.025
O 0.005< p-value < 0.010
O p-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?
O Since the P-value > a, we fail to reject the null hypothesis.
Since the P-value > a, we reject the null hypothesis.
Since the P-value ≤ a, we reject the null hypothesis.
O Since the P-value ≤ a, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the application.
At the 5% level of significance, there is sufficient evidence to conclude that age distribution and location are
not independent.
O At the 5% level of significance, there is insufficient evidence to conclude that age distribution and location are
not independent.
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