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In a business, the Chief Executive Officer wants to know if his workers are for or against mandatory vaccinations. A random sample of 200 workers was taken and the results are shown in the MINITAB output below Expected counts are printed below observed counts Managers Team leaders Employees Total 17 22 15 Approve 21.330 17.820 14.850 54 34 25 14 Against 28.835 24.090 20.075 73 28 19 26 No Opinion 28.835 24.090 20.075 73 Total 79 66 55 200 Chi-są = 0.878992 + 0.980494 + 0.001515 + 0.925168+ 0.034375 + 1.838387 + 0.02418 + 1.075471 + 1.74874 =7.507306 i. What is the value of the degree of freedom for this test? ii. What is the p-value for this test? iii. Carefully define the null and alternative hypotheses of the x test underlying the generation of the above table. iv. Using a = 10%, what is the conclusion of this test? Give reasons for your answer. marks

In a business, the Chief Executive Officer wants to know if his workers are for or against mandatory vaccinations. A random sample of 200 workers was taken and the results are shown in the MINITAB output below Expected counts are printed below observed counts Managers Team leaders Employees Total 17 22 15 Approve 21.330 17.820 14.850 54 34 25 14 Against 28.835 24.090 20.075 73 28 19 26 No Opinion 28.835 24.090 20.075 73 Total 79 66 55 200 Chi-są = 0.878992 + 0.980494 + 0.001515 + 0.925168+ 0.034375 + 1.838387 + 0.02418 + 1.075471 + 1.74874 =7.507306 i. What is the value of the degree of freedom for this test? ii. What is the p-value for this test? iii. Carefully define the null and alternative hypotheses of the x test underlying the generation of the above table. iv. Using a = 10%, what is the conclusion of this test? Give reasons for your answer. marks

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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In a business, the Chief Executive Officer wants to know if his workers are for or against mandatory vaccinations. A random sample of 200 workers was taken and the results are shown in the MINITAB output below Expected counts are printed below observed counts Managers Team leaders Employees Total 17 22 15 Approve 21.330 17.820 14.850 54 34 25 14 Against 28.835 24.090 20.075 73 28 19 26 No Opinion 28.835 24.090 20.075 73 Total 79 66 55 200 Chi-są = 0.878992 + 0.980494 + 0.001515 + 0.925168+ 0.034375 + 1.838387 + 0.02418 + 1.075471 + 1.74874 =7.507306 i. What is the value of the degree of freedom for this test? ii. What is the p-value for this test? Carefully define the null and alternative hypotheses of the test underlying the generation of the above table. Using a = 10%, what is the conclusion of this test? Give reasons for your answer. marks iii. iv.
Transcribed Image Text:In a business, the Chief Executive Officer wants to know if his workers are for or against mandatory vaccinations. A random sample of 200 workers was taken and the results are shown in the MINITAB output below Expected counts are printed below observed counts Managers Team leaders Employees Total 17 22 15 Approve 21.330 17.820 14.850 54 34 25 14 Against 28.835 24.090 20.075 73 28 19 26 No Opinion 28.835 24.090 20.075 73 Total 79 66 55 200 Chi-są = 0.878992 + 0.980494 + 0.001515 + 0.925168+ 0.034375 + 1.838387 + 0.02418 + 1.075471 + 1.74874 =7.507306 i. What is the value of the degree of freedom for this test? ii. What is the p-value for this test? Carefully define the null and alternative hypotheses of the test underlying the generation of the above table. Using a = 10%, what is the conclusion of this test? Give reasons for your answer. marks iii. iv.
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