(1 point) Suppose a group of 1000 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 475 patients who received the antidepressant drug, 43 were not smoking one year later. Of the 525 patients who received the placebo, 96 were not smoking one year later. Given the null hypothesis Ho : (Pdrug - Pplacebo) = 0 and the alternative hypothesis Ha : (Pdrug - Pplacebo) # 0, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use a = 0.05, (a) The test statistic is (b) The P-value is (c) The final conclusion is OA. There seems to be evidence that the patients taking the antidepressant drug have a different success rate of not smoking after one year than the placebo group. OB. There is not sufficient evidence to determine whether the antidepressant drug had an effect on changing smoking habits after one year. (1 point) Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes" are given below: UVA (Pop. 1): n = 82, p, = 0.702 UNC (Pop. 2): n2 = 85, p2 = 0.569 Find a 95% confidence interval for the difference p1 - p2 of the population proportions. Confidence interval: to