1. Erythromycin is a drug that has been proposed to possibly lower the risk of premature delivery. A related area of interest is its association with the incidence of side effects during pregnancy. Suppose it is known from previous studies that 30% of all pregnant women complain of nausea between the 24th and 28th week of pregnancy. A study of erythromycin is conducted in a large obstetrics practice and 24 women in their first trimester of pregnancy agree to participate. The women have an office visit every two weeks and in addition to a variety of tests, the women are asked if they have experienced nausea since the last visit. Of the 24 women, 11 report nausea during their 24th to 28th week of pregnancy. Using these data, evaluate whether or not erythromycin has had an effect on the occurrence nausea. In your answer include:

1. A statement of the research hypothesis.
2. The target population.
3. The random variable of interest.
4. The study design.
5. The null and alternate hypotheses using a two-sided alternate hypothesis.
6. The name of the statistical test and the assumptions required for the test.
7. The formula and calculated value for the test statistic.
8. The significance level you chose and the rejection region.
9. A value or range for the p-value.
10. Whether you rejected or failed to reject the null hypothesis.
11. A 95% confidence interval for the proportion of women that experience nausea.
12. The power of the study for a value of the population proportion under the alternate hypothesis of .4
13. The required sample size to have power = .9 to reject the null hypothesis at a significance level of .01 if the incidence of nausea while taking erythromycin is .5
14. A conclusion regarding the findings of the study.