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The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Lamar District Firehole District Age Calf Yearling Adult Nez Perce District Row Total 16 12 15 10 41 11 10 33 33 30 29 92 Column Total 61 56 49 166 A USE SALT 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. O Ho: Age distribution and location are independent. H,: Age distribution and location are not independent. O Ho: Age distribution and location are independent. H: Age distribution and location are independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are not independent. (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? O Yes O No What sampling distribution will you use? O uniform O Student'st O binomial chi-square O normal What are the degrees of freedom?

The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Lamar District Firehole District Age Calf Yearling Adult Nez Perce District Row Total 16 12 15 10 41 11 10 33 33 30 29 92 Column Total 61 56 49 166 A USE SALT 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. O Ho: Age distribution and location are independent. H,: Age distribution and location are not independent. O Ho: Age distribution and location are independent. H: Age distribution and location are independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are not independent. (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? O Yes O No What sampling distribution will you use? O uniform O Student'st O binomial chi-square O normal What are the degrees of freedom?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Age Calf Lamar District Nez Perce District Firehole District Row Total 16 15 10 41 Yearling Adult 12 11 10 33 33 30 29 92 Column Total 61 56 49 166 n USE SALT 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. O Ho: Age distribution and location are independent. H,: Age distribution and location are not independent. O Ho: Age distribution and location are independent. H: Age distribution and location are independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are not independent. (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 O No What sampling distribution will you use? O uniform O Student's t O binomial O chi-square O normal What are the degrees of freedom? DOOO
Transcribed Image Text:The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Age Calf Lamar District Nez Perce District Firehole District Row Total 16 15 10 41 Yearling Adult 12 11 10 33 33 30 29 92 Column Total 61 56 49 166 n USE SALT 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. O Ho: Age distribution and location are independent. H,: Age distribution and location are not independent. O Ho: Age distribution and location are independent. H: Age distribution and location are independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are not independent. (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 O No What sampling distribution will you use? O uniform O Student's t O binomial O chi-square O normal What are the degrees of freedom? DOOO
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