Suppose a group of 700 smokers (who all wanted to give upsmoking) were randomly assigned to receive an antidepressant drugor a placebo for six weeks. Of the 164 patients who received theantidepressant drug, 41 were not smoking one year later. Of the 536patients who received the placebo, 107 were not smoking one yearlater. Given the null hypothesisH0:(pdrug−pplacebo)=0and the alternative hypothesisHa:(pdrug−pplacebo)≠0,conduct a test to see if taking an antidepressant drug can helpsmokers stop smoking. Use α=0.01
,
(a) The test statistic is
(b) The P-value is
(c) The final conclusion is
A. There is not sufficient evidence to determinewhether the antidepressant drug had an effect on changing smokinghabits after one year.
B. There seems to be evidence that the patientstaking the antidepressant drug have a different success rate of notsmoking after one year than the placebo group.
