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Suppose a group of 700 smokers (who all wanted to give up smoking) were randomly assigned...

Suppose a group of 700 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 207 patients who received the antidepressant drug, 31 were not smoking one year later. Of the 493 patients who received the placebo, 123 were not smoking one year later. Given the null hypothesis ?0:(?????−????????)=0 and the alternative hypothesis ??:(?????−????????)≠0, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ?=0.02,

(a) The test statistic is

(b) The P-value is

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Answer #1

The statistical software output for this problem is :

(a) The test statistic is = -2.907

(b) The P-value is = 0.0036

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