Suppose a drug company designs to develop a new drug to prevent colds. The company states that the drug is equally effective for men and women. To test this claim, they choose a simple random sample of 100 women and 200 men from a population of 100,000 volunteers. At the end of the study, 38 women caught a cold; and 102 men caught a cold. (a) Based on these findings, can we reject the company's claim that the drug is equally effective for men and women? Use a 0.05 level of significance. (b) Find the 95% confidence interval for the difference between the proportions of women and men caught a cold. (c) Are the results of (a) and (b) consistent? Explain briefly.
Suppose a drug company designs to develop a new drug to prevent colds. The company states that the drug is equally effective for men and women. To test this claim, they choose a simple random sample of 100 women and 200 men from a population of 100,000 volunteers. At the end of the study, 38 women caught a cold; and 102 men caught a cold. (a) Based on these findings, can we reject the company's claim that the drug is equally effective for men and women? Use a 0.05 level of significance. (b) Find the 95% confidence interval for the difference between the proportions of women and men caught a cold. (c) Are the results of (a) and (b) consistent? Explain briefly.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 14CR
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Transcribed Image Text:Q1
Suppose a drug company designs to develop a new drug to prevent colds. The company
states that the drug is equally effective for men and women. To test this claim, they
choose a simple random sample of 100 women and 200 men from a population of
100,000 volunteers.
At the end of the study, 38 women caught a cold; and 102 men caught a cold.
(a) Based on these findings, can we reject the company's claim that the drug is equally
effective for men and women? Use a 0.05 level of significance.
(b) Find the 95% confidence interval for the difference between the proportions of
women and men caught a cold.
(c) Are the results of (a) and (b) consistent? Explain briefly.
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