A pharmaceutical company proposes a new drug treatment for alleviating symptoms of PMS​ (premenstrual syndrome). In the first stages of a clinical​ trial, it was successful for 7 out of 14 women.  What is the 95% confidence interval for p, the true proportion of all women who will find success with this new treatment?   A. (0.473, 0.527)   B. (0.269, 0.731)   C. (0.211, 0.789)   D. (0.251, 0.749)   E. (0.238, 0.762)

A researcher surveys a group of college students to determine the negative life events that they experienced in the past 5 years and their current feeling of well-being. For N = 18 participants with 2 or fewer negative experiences, the average well-being score was X = 42 with SS = 398. For the N = 16 participants with 5 to 10 negative experiences the average score is X = 48.6 with SS = 370. Construct a 95% confidence interval for the difference between the population means for the two groups.

In clinical trials of the allergy medicine Clarinex (5 mg) and a placebo group subjects reported whether they experienced dry mouth as a possible side effect of their respective treatments. The results of a 95% confidence interval for the proportion of Clarinex users who experienced dry mouth minus the proportion of placebo takers who experienced dry mouth are: (-0.0009, 0.0220). If a hypothesis test were performed, what would you expect the results to be and explain your reasoning.

A study is conducted by a physical therapist to determine whether there is a difference in the proportion of men and women in the U.S. that participate in regular sustained physical activity. It is found that 22% of menout of 550 and 19.5% of women out of 450 participated in regular sustained physical activity. Construct a 90% confidence interval for the difference in proportions of men and women that participate in regular sustained and state your conclusion.

A recent poll indicated that 42% of men supported raises taxes to fund additional park services.   The poll also found that 64% of women supported such a tax.  The sample consisted of 29 men and 25 women.   Construct a 90% confidence interval around the difference in proportions.

Pharmaceutical scientists tested the effectiveness of a new drug designed to cure malaria. They recorded the proportion of rats that were cured when given the existing drug (sample 1 proportion) and the proportion of rats that were cured when given the new drug (sample 2 proportion). The 95% confidence interval for the difference in the proportion of cured rats between these two groups was (-0.18, 0.32). Interpret this interval. O pl is substantially less than p2, therefore we can be 95% confident that the proportion of rats cured is substantially lower when given the existing drug. p1 is similar to p2, therefore we can be 95% confident that the proportion of rats cured is similar, whether given the new drug or the existing drug. O p1 is substantially more than p2, therefore we can be 95% confident that the proportion of rats cured is substantially higher when given the existing drug.