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The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Nez Perce District Firehole District Row Total 41 11 10 33 28 49 Age Calf Yearling Adult Column Total USE SALT Lamar District 16 11 37 64 State the null and alternate hypotheses. OH: Age distribution and location are independent. H.: Age distribution and location are independent. 14 H: Age distribution and location are not independent. H₁: Age distribution and location are not independent. OH: Age distribution and location are not independent. H.: Age distribution and location are independent. OH: Age distribution and location are independent. H: Age distribution and location are not independent. 12 27 53 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? 92 166

The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Nez Perce District Firehole District Row Total 41 11 10 33 28 49 Age Calf Yearling Adult Column Total USE SALT Lamar District 16 11 37 64 State the null and alternate hypotheses. OH: Age distribution and location are independent. H.: Age distribution and location are independent. 14 H: Age distribution and location are not independent. H₁: Age distribution and location are not independent. OH: Age distribution and location are not independent. H.: Age distribution and location are independent. OH: Age distribution and location are independent. H: Age distribution and location are not independent. 12 27 53 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? 92 166

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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(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.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? O uniform O normal Obinomial Student's t O chi-square 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 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. O Since the P-value > a, we reject the null hypothesis. O 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 the application. O 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.
Transcribed Image Text:(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.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? O uniform O normal Obinomial Student's t O chi-square 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 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. O Since the P-value > a, we reject the null hypothesis. O 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 the application. O 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.
The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Firehole District Nez Perce District 11 10 Row Total 41 33 29 92 49 166 Age Calf Yearling Adult Column Total USE SALT Lamar District 16 11 37 64 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? State the null and alternate hypotheses. OH: Age distribution and location are independent. H. Age distribution and location are independent. OH: Age distribution and location are not independent. H: Age distribution and location are not independent. Ho: Age distribution and location are not independent. H₁ Age distribution and location are independent. 14 12 27 53 OH: Age distribution and location are independent. H.: Age distribution and location are not independent.
Transcribed Image Text:The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Firehole District Nez Perce District 11 10 Row Total 41 33 29 92 49 166 Age Calf Yearling Adult Column Total USE SALT Lamar District 16 11 37 64 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? State the null and alternate hypotheses. OH: Age distribution and location are independent. H. Age distribution and location are independent. OH: Age distribution and location are not independent. H: Age distribution and location are not independent. Ho: Age distribution and location are not independent. H₁ Age distribution and location are independent. 14 12 27 53 OH: Age distribution and location are independent. H.: Age distribution and location are not independent.
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