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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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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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