10. You plan to conduct a study to compare the prevalence of electronic cigarette use in the past 30 days by high school students in grade 10 to the prevalence in grade 12. Based on a previous study, the prevalence of e-cigarette use among students in grade 12 is determined to be 25%. You intend to conduct a two-sided, one-sample test of proportions at the 0.05 level of significance. (4pts)
(a) If the prevalence of e-cigarette use among 10th graders is postulated to be 20%, what sample size would be (b) If the prevalence of e-cigarette use is postulated to be 15% for 10th graders, and you prefer 90% power, what sample size would be required? to have 80% power?