8. Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states that the drug is equally effective for women and men. To test this claim, they choose a simple random sample of 100 women and 200 men from a nonulation of 10 0.000 volunteers At the cnd of

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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8. Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company
states that the drug is equally effective for women and men. 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% of the women caught a cold and 51% of the men caught a cold.
Based on these findings, can we reject the company's claim that the drug is equally effective
for women and men? Use a 0.05 level of significance. Be sure to clearly write out all four
steps of the hypothesis testing process and include a sentence that interprets your
conclusion.
a.
b. What is the 95% confidence interval for the difference in the proportion of men versus
women who caught a cold?
Transcribed Image Text:8. Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states that the drug is equally effective for women and men. 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% of the women caught a cold and 51% of the men caught a cold. Based on these findings, can we reject the company's claim that the drug is equally effective for women and men? Use a 0.05 level of significance. Be sure to clearly write out all four steps of the hypothesis testing process and include a sentence that interprets your conclusion. a. b. What is the 95% confidence interval for the difference in the proportion of men versus women who caught a cold?
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