A researcher wonders if there an association between the incidence of colds and the amount of vitamin C taken. He recruits 86 volunteers and randomly assigns 25 of them to take 500 mg of vitamin C, 19 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 26 of the volunteers did not have any colds where 12 of them were in the 500 mg group and 9 of them were in the 1000 mg group. Test the appropriate hypothesis at a = .05. Round all answers to three decimal places. (a). Ho: There Select an answer C an association between the incidence of colds and the amount of vitamin C taken. (b). Ha: There Select an answer O an association between the incidence of colds and the amount of vitamin C taken. (c). Complete the table of expected counts under the null hypothesis. Hint At least one cold No colds No vitamin C 12.698 500 mg vitamin C 17.442 1000 mg vitamin 13.256 5.744 (d). Using your previous answers, complete the table of contributions to the test statistic. At least one cold No colds No vitamin C 2.022 4.667 500 mg vitamin C 2.611 1000 mg vitamin 0.8 1.846 (e). Using your previous answers, compute the test statistic (f). Using your previous answers, compute the p-value (h). The critical value is (i). We Select an answer O the null hypothesis and conclude that there Select an answer evidence of an association between incidence of colds and vitamin C consumption.

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 86 volunteers and randomly assigns 25 of them to take 500 mg of vitamin C, 19 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 26 of the volunteers did not have any colds where 12 of them were in the 500 mg group and 9 of them were in the 1000 mg group. Test the appropriate hypothesis at α=.05.α=.05.

Round all answers to three decimal places.

(a). H0:H0: There Select an answer is is not an association between the incidence of colds and the amount of vitamin C taken.

(b). Ha:Ha: There Select an answer is is not an association between the incidence of colds and the amount of vitamin C taken.

(c). Complete the table of expected counts under the null hypothesis. Hint

	At least one cold	No colds
No vitamin C		12.698
500 mg vitamin C	17.442
1000 mg vitamin C	13.256	5.744

(d). Using your previous answers, complete the table of contributions to the test statistic.

	At least one cold	No colds
No vitamin C	2.022	4.667
500 mg vitamin C		2.611
1000 mg vitamin C	0.8	1.846

(e). Using your previous answers, compute the test statistic

(f). Using your previous answers, compute the p-value

(h). The critical value is

(i). We Select an answer do not reject reject accept the null hypothesis and conclude that there Select an answer is is not evidence of an association between incidence of colds and vitamin C consumption.

A researcher wonders if there an association between the incidence of colds and the amount of vitamin C taken. He
recruits 86 volunteers and randomly assigns 25 of them to take 500 mg of vitamin C, 19 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 26 of the volunteers did not
have any colds where 12 of them were in the 500 mg group and 9 of them were in the 1000 mg group. Test the
appropriate hypothesis at a = .05.
Round all answers to three decimal places.
(a). Ho: There Select an answer
C an association between the incidence of colds and the amount of vitamin C taken.
(b). Ha: There Select an answer
O an association between the incidence of colds and the amount of vitamin C taken.
(c). Complete the table of expected counts under the null hypothesis. Hint
At least one cold
No colds
No vitamin C
12.698
500 mg vitamin C
17.442
1000 mg vitamin
13.256
5.744
(d). Using your previous answers, complete the table of contributions to the test statistic.
At least one cold
No colds
No vitamin C
2.022
4.667
500 mg vitamin C
2.611
1000 mg vitamin
0.8
1.846
(e). Using your previous answers, compute the test statistic
(f). Using your previous answers, compute the p-value
(h). The critical value is
(i). We Select an answer
O the null hypothesis and conclude that there Select an answer
evidence of an association
between incidence of colds and vitamin C consumption.

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