comparison for three methods
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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 p1â?"p2. Will all three approaches always result in the same conclusion? Explain.
Here is my answer:
First, the samples are not randomly chosen because all of samples are her friends. Second, the sample size may be not big enough to make the distribution appear normally distributed. Third, it is possible that some of her friends may not be willing to reveal to her that they are smokers. Therefore, randomness in the ...
The solution provides detailed explanation as to the three methods, traditional method, probability method and confidence interval method for hypothesis test.