A student of the author surveyed her friends and found that among 20 males, 4 sm
ID: 3124999 • Letter: A
Question
A student of the author surveyed her friends and found that among 20 males, 4 smoke and among 30 female friends, 6 smoke. Give two reasons why these results should not be used for a hypothesis test of the claim that the proportions of male smokers and female smokers are equal.
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
The results should not be used for a hypothesis test of the claim that the proportions of male smokers and female smokers are equal because the samples will not represent the male and female populations.The samples are drawn from the male and female friends of the author who will not represent the male and female populations. All the three approches always result in the same conclusion
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