A researcher wonders if there an association between the incidence of colds and the amount of Vitamin C taken. He recruits 87 volunteers and randomly assigns 26 of them to take 500 mg of Vitamin C, 15 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 25 of the volunteers did not have any colds where 12 of them were in the 500 mg group, 8 of them were in the 1000 mg group, and the rest took no Vitamin C. Test the appropriate hypothesis at a = 0.05. 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 an association between the incidence of colds and the amount of 32.782 an association between the incidence of colds and the amount of At least one cold 18.529 10.69 Using your previous answers, complete the table of contributions to the test statistic: 1.107 2.06 No colds 1.274 13.218 At least one cold No colds 7.471 10.69 What is the critical value for this test? 5.109 2.746 3.159 What is the test statistic? Hint: How do you get from the contributions to the test statistic to the test statistic? 15.455 Using your answer from the previous question, find the p-value. ▼ Part 2 of 5 ▼ Part 3 of 5 Part 4 of 5
A researcher wonders if there an association between the incidence of colds and the amount of Vitamin C taken. He recruits 87 volunteers and randomly assigns 26 of them to take 500 mg of Vitamin C, 15 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 25 of the volunteers did not have any colds where 12 of them were in the 500 mg group, 8 of them were in the 1000 mg group, and the rest took no Vitamin C. Test the appropriate hypothesis at a = 0.05. 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 an association between the incidence of colds and the amount of 32.782 an association between the incidence of colds and the amount of At least one cold 18.529 10.69 Using your previous answers, complete the table of contributions to the test statistic: 1.107 2.06 No colds 1.274 13.218 At least one cold No colds 7.471 10.69 What is the critical value for this test? 5.109 2.746 3.159 What is the test statistic? Hint: How do you get from the contributions to the test statistic to the test statistic? 15.455 Using your answer from the previous question, find the p-value. ▼ Part 2 of 5 ▼ Part 3 of 5 Part 4 of 5
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:A researcher wonders if there an association between the incidence of colds and the amount of Vitamin C
taken. He recruits 87 volunteers and randomly assigns 26 of them to take 500 mg of Vitamin C, 15 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 25 of the volunteers did not have any colds where 12 of them were in the 500 mg group, 8 of them
were in the 1000 mg group, and the rest took no Vitamin C.
Test the appropriate hypothesis at a = 0.05. 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
an association between the incidence of colds and the amount of
32.782
15.455
an association between the incidence of colds and the amount of
At least one cold
18.529
10.69
Using your previous answers, complete the table of contributions to the test statistic:
1.107
2.06
No colds
1.274
13.218
At least one cold No colds
7.471
10.69
What is the critical value for this test?
5.109
2.746
What is the test statistic?
Hint: How do you get from the contributions to the test statistic to the test statistic?
3.159
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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