Question

In: Statistics and Probability

For each test below, follow the following steps. (1) state the hypotheses, (2) formulate an analysis...

For each test below, follow the following steps.

(1) state the hypotheses,
(2) formulate an analysis plan
(3) analyze sample data

(4) interpret the results
You may use the TI-83 to calculate the test statistic and p-value, but be sure you indicate which test you are using.

Test II – Test a New Drug

Suppose the Acme Drug Company develops a new drug, designed 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% 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 men and women? Use a 0.05 level of significance.

Solutions

Expert Solution

The output is

From the output, test statistic Z = -2.1276

P-value = 0.033

Since p-value is less than level of significance 0.05, we reject null hypthesis and conclude that

Drug is not equally effective for men and women


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