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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.)

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 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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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 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: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
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.
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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