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.
„h 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¡Xp2. Will all three approaches always result in the same conclusion? Explain.
2 answers
I need help to understand formula
The normal approximation may be inaccurate for small samples.Here bith the samples are real;y small sizes, that is why you should not risk the hypothesis testing.
Also there is no information of population size and distribution, which may stop us from finding if we need to use finite population correction, and assuming these distribution to be normal would be a far stretched assumption without any proof.
Also there is no information of population size and distribution, which may stop us from finding if we need to use finite population correction, and assuming these distribution to be normal would be a far stretched assumption without any proof.