Suppose a group of 800 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 594 patients who received the antidepressant drug, 272 were not smoking one year later. Of the 206 patients who received the placebo, 92 were not smoking one year later.
Given the null hypothesis H0 : (P drug - P placebo) = 0 and the alternative hypothesis HA : (P drug - P placebo) does not = 0 ,
conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use a = 0.01
(a) The test statistic is : _________
(b) The P-value is : __________
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