Given a simple random sample of men and a simple random sample of women, we want

Question

Given a simple random sample of men and a simple random sample of women, we want to use a 0.05 significance level to test the claim that the percentage of men who smoke is equal to the percentage of women who smoke. One approach is to use the P-value method of hypothesis testing; a second approach is to use the traditional method of hypothesis testing; and a third approach is to base the conclusion on the 95% confidence interval estimate of p1—p2. Will all three approaches always result in the same conclusion? Explain.

Explanation / Answer

Yes, all the approaches will lead to the same result.

P value method mean if the p value is greater than 0.05, then one fails to reject the null hypothesis.

Traditional approach uses critical region to come to the decision.

Confidence interval tells whether the interval contains zero or not.

Thus, all the methods will lead to the same conclusion.

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