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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 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O binomial

(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 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O binomial

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 14 13 14 41 Yearling 12 12 33 Adult 35 24 33 92 Column Total 61 46 59 166 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? 0.05 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. Ho: Age distribution and location are not independent. H,: Age distribution and location are not independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are 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 decit Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O binomial O normal O uniform
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 14 13 14 41 Yearling 12 12 33 Adult 35 24 33 92 Column Total 61 46 59 166 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? 0.05 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. Ho: Age distribution and location are not independent. H,: Age distribution and location are not independent. O Ho: Age distribution and location are not independent. H,: Age distribution and location are 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 decit Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O binomial O normal O uniform
What sampling distribution will you use? O binomial O normal O uniform O 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.) 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 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? 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. 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. At the 5% level of significance, there is insufficient evidence to conclude that age distribution and location are not independent.
Transcribed Image Text:What sampling distribution will you use? O binomial O normal O uniform O 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.) 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 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? 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. 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. At the 5% level of significance, there is insufficient evidence to conclude that age distribution and location are not independent.
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