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Question 4 (Hand Calculations) In the following study the researcher was interested in determining if taking daily vitamin C supplements over the winter months reduced the incidence of colds during that period. For this study a sample of n₁ = 4000 cases were required to take a vitamin C supplement. A second sample n₂ = 3000 subjects were not required to take the vitamin C supplement The outcomes of this study are displayed in the following table: Took Vitamin C Did not take Vitamin C 3000 Group Total number of cases Number contracting a cold during winter mos. 4000 538 512 a) Determine 95% confidence limits for the proportion of subjects contracting a cold amongst subjects taking Vitamin C. b) Determine 99% confidence limits for the proportion of subjects contracting a cold amongst subjects not taking Vitamin C. c) Is there a significant decrease (a = 0.05 and a =0.01) in the proportion of subjects contracting a cold for subjects taking Vitamin C over subjects not taking Vitamin C? d) Determine 95% confidence limits for the difference in the proportion of subjects contracting a cold between subjects taking Vitamin C and subjects not taking Vitamin C. e) Determine 99% confidence limits for the difference in the proportion of subjects contracting a cold between subjects taking Vitamin C and subjects not taking Vitamin C.

Question 4 (Hand Calculations) In the following study the researcher was interested in determining if taking daily vitamin C supplements over the winter months reduced the incidence of colds during that period. For this study a sample of n₁ = 4000 cases were required to take a vitamin C supplement. A second sample n₂ = 3000 subjects were not required to take the vitamin C supplement The outcomes of this study are displayed in the following table: Took Vitamin C Did not take Vitamin C 3000 Group Total number of cases Number contracting a cold during winter mos. 4000 538 512 a) Determine 95% confidence limits for the proportion of subjects contracting a cold amongst subjects taking Vitamin C. b) Determine 99% confidence limits for the proportion of subjects contracting a cold amongst subjects not taking Vitamin C. c) Is there a significant decrease (a = 0.05 and a =0.01) in the proportion of subjects contracting a cold for subjects taking Vitamin C over subjects not taking Vitamin C? d) Determine 95% confidence limits for the difference in the proportion of subjects contracting a cold between subjects taking Vitamin C and subjects not taking Vitamin C. e) Determine 99% confidence limits for the difference in the proportion of subjects contracting a cold between subjects taking Vitamin C and subjects not taking Vitamin C.

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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Question 4 (Hand Calculations) In the following study the researcher was interested in determining if taking daily vitamin C supplements over the winter months reduced the incidence of colds during that period. For this study a sample of n₁ = 4000 cases were required to take a vitamin C supplement. A second sample n₂ = 3000 subjects were not required to take the vitamin C supplement The outcomes of this study are displayed in the following table: Group Took Vitamin C Did not take Vitamin C Total number of 3000 cases Number contracting a cold during winter mos. 4000 538 512 a) Determine 95% confidence limits for the proportion of subjects contracting a cold amongst subjects taking Vitamin C. b) Determine 99% confidence limits for the proportion of subjects contracting a cold amongst subjects not taking Vitamin C. c) Is there a significant decrease (a = 0.05 and a =0.01) in the proportion of subjects contracting a cold for subjects taking Vitamin C over subjects not taking Vitamin C? d) Determine 95% confidence limits for the difference in the proportion of subjects contracting a cold between subjects taking Vitamin C and subjects not taking Vitamin C. e) Determine 99% confidence limits for the difference in the proportion of subjects contracting a cold between subjects taking Vitamin C and subjects not taking Vitamin C.
Transcribed Image Text:Question 4 (Hand Calculations) In the following study the researcher was interested in determining if taking daily vitamin C supplements over the winter months reduced the incidence of colds during that period. For this study a sample of n₁ = 4000 cases were required to take a vitamin C supplement. A second sample n₂ = 3000 subjects were not required to take the vitamin C supplement The outcomes of this study are displayed in the following table: Group Took Vitamin C Did not take Vitamin C Total number of 3000 cases Number contracting a cold during winter mos. 4000 538 512 a) Determine 95% confidence limits for the proportion of subjects contracting a cold amongst subjects taking Vitamin C. b) Determine 99% confidence limits for the proportion of subjects contracting a cold amongst subjects not taking Vitamin C. c) Is there a significant decrease (a = 0.05 and a =0.01) in the proportion of subjects contracting a cold for subjects taking Vitamin C over subjects not taking Vitamin C? d) Determine 95% confidence limits for the difference in the proportion of subjects contracting a cold between subjects taking Vitamin C and subjects not taking Vitamin C. e) Determine 99% confidence limits for the difference in the proportion of subjects contracting a cold between subjects taking Vitamin C and subjects not taking Vitamin C.
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