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 193 patients who received the antidepressant drug, 12 were not smoking one year later. Of the 807 patients who received the placebo, 242 were not smoking one year later. Given the null hypothesis ?0:?1=?2H0:p1=p2 and the alternative hypothesis ??:?1≠?2Ha:p1≠p2, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ?=0.01α=0.01 (a) The rejection region is |?|>|z|> (b) The test statistic is ?=z= The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that ?1=?2p1=p2 and conclude that the antidpressant drug can help smokers stop smoking. B. We can reject the null hypothesis that ?1=?2p1=p2 and conclude that the antidpressant drug can help smokers stop smoking.
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 193 patients who received the antidepressant drug, 12 were not smoking one year later. Of the 807 patients who received the placebo, 242 were not smoking one year later. Given the null hypothesis ?0:?1=?2H0:p1=p2 and the alternative hypothesis ??:?1≠?2Ha:p1≠p2, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ?=0.01α=0.01
(a) The rejection region is |?|>|z|>
(b) The test statistic is ?=z=
The final conclusion is
A. There is not sufficient evidence to reject the null hypothesis that ?1=?2p1=p2 and conclude that the antidpressant drug can help smokers stop smoking.
B. We can reject the null hypothesis that ?1=?2p1=p2 and conclude that the antidpressant drug can help smokers stop smoking.
2. Construct the 99% confidence interval for the difference between the proportions of those who gave up smoking with and without the antidepressant drug.
<(?1−?2)<<(p1−p2)<
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