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Test the appropriate hypothesis at a = 0.01. Round your answers to three decimal places, if necessary.

Test the appropriate hypothesis at a = 0.01. Round your answers to three decimal places, if necessary.

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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A researcher wonders if there an association between the incidence of colds and the amount of Vitamin C taken. He recruits 93 volunteers and randomly assigns 26 of them to take 500 mg of Vitamin C, 18 of them to take 1000 mg of Vitamin C and the rest to take no Vitamin C. At the end of the study, it was determined that 30 of the volunteers did not have any colds where 15 of them were in the 500 mg group, 11 of them were in the 1000 mg group, and the rest took no Vitamin C. Test the appropriate hypothesis at a = 0.01. Round your answers to three decimal places, if necessary. Fill in the hypotheses below: Ho: There is not vitamin C taken. Ha: There is vitamin C taken. No Vitamin C Complete the table of expected counts under the null hypothesis: 500mg Vitamin C 1000mg Vitamin C No Vitamin C 500mg Vitamin C 1000mg Vitamin C 33.194 At least one cold an association between the incidence of colds and the amount of an association between the incidence of colds and the amount of 17.613 12.194 4.199 Using your previous answers, complete the table of contributions to the test statistic: 2.4829 2.212 No colds 15.806 At least one cold No colds 8.387 12.194 What is the critical value for this test? 8.818 5.214 4.647 What is the test statistic? Hint: How do you get from the contributions to the test statistic to the test statistic? 27.573 Using your answer from the previous question, find the p-value. ▼ Part 2 of 5 ▼ Part 3 of 5 Part 4 of 5
Transcribed Image Text:A researcher wonders if there an association between the incidence of colds and the amount of Vitamin C taken. He recruits 93 volunteers and randomly assigns 26 of them to take 500 mg of Vitamin C, 18 of them to take 1000 mg of Vitamin C and the rest to take no Vitamin C. At the end of the study, it was determined that 30 of the volunteers did not have any colds where 15 of them were in the 500 mg group, 11 of them were in the 1000 mg group, and the rest took no Vitamin C. Test the appropriate hypothesis at a = 0.01. Round your answers to three decimal places, if necessary. Fill in the hypotheses below: Ho: There is not vitamin C taken. Ha: There is vitamin C taken. No Vitamin C Complete the table of expected counts under the null hypothesis: 500mg Vitamin C 1000mg Vitamin C No Vitamin C 500mg Vitamin C 1000mg Vitamin C 33.194 At least one cold an association between the incidence of colds and the amount of an association between the incidence of colds and the amount of 17.613 12.194 4.199 Using your previous answers, complete the table of contributions to the test statistic: 2.4829 2.212 No colds 15.806 At least one cold No colds 8.387 12.194 What is the critical value for this test? 8.818 5.214 4.647 What is the test statistic? Hint: How do you get from the contributions to the test statistic to the test statistic? 27.573 Using your answer from the previous question, find the p-value. ▼ Part 2 of 5 ▼ Part 3 of 5 Part 4 of 5
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