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 147 patients who received the antidepressant drug, 18 were not smoking one year later. Of the 553 patients who received the placebo, 206 were not smoking one year later. Given the null hypothesis ?0:(?????−????????)=0H0:(pdrug−pplacebo)=0 and the alternative hypothesis ??:(?????−????????)≠0Ha:(pdrug−pplacebo)≠0, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ?=0.04α=0.04, (a) The test statistic is (b) The P-value is

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...
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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 147 patients who received the antidepressant drug, 18 were not smoking one year later. Of the 553 patients who received the placebo, 206 were not smoking one year later. Given the null hypothesis ?0:(?????−????????)=0H0:(pdrug−pplacebo)=0 and the alternative hypothesis ??:(?????−????????)≠0Ha:(pdrug−pplacebo)≠0, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ?=0.04α=0.04,

(a) The test statistic is

(b) The P-value is

 

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