Nicotine patches are often used to help smokers quit. Does giving medicine to fight depression help? A randomized double-blind experiment assigned 244 smokers to receive nicotine patches and another 245 to receive both a patch and the antidepressant drug bupropion. After a year, 40 subjects in the nicotine patch group had abstained from smoking, as had 87 in the patch-plus-drug group. Let P1 = the true proportioh of smokers like these who would abstain when using only a patch and P2 = the true proportion of smokers like these who would abstain when using bupropion and a nicotine patch. Construct a 95% confidence interval for pi – P2-

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Author:Amos Gilat
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Nicotine patches are often used to help smokers quit. Does giving medicine to fight depression
help? A randomized double-blind experiment assigned 244 smokers to receive nicotine patches
and another 245 to receive both a patch and the antidepressant drug bupropion. After a year, 40
subjects in the nicotine patch group had abstained from smoking, as had 87 in the patch-plus-drug
group. Let p1 = the true proportioh of smokers like these who would abstain when using only a
patch and P2 = the true proportion of smokers like these who would abstain when using bupropion
and a nicotine patch. Construct a 95% confidence interval for pi -p2-
0.191 1.960
(0.164)(0.836)
(0.355)(0.645)
244
245
(0.164)(0.836)
(0.355)(0.645)
0.191 1.960V
244
245
(0.355)(0.645)
245
(0.164)(0.836)
-0.191 + 1.645V
244
(0.164)(0.836)
(0.355)(0.645)
-0.191 1.645
244
245
(0.260)(0.740)
-0.191 + 1.960
489
Transcribed Image Text:Nicotine patches are often used to help smokers quit. Does giving medicine to fight depression help? A randomized double-blind experiment assigned 244 smokers to receive nicotine patches and another 245 to receive both a patch and the antidepressant drug bupropion. After a year, 40 subjects in the nicotine patch group had abstained from smoking, as had 87 in the patch-plus-drug group. Let p1 = the true proportioh of smokers like these who would abstain when using only a patch and P2 = the true proportion of smokers like these who would abstain when using bupropion and a nicotine patch. Construct a 95% confidence interval for pi -p2- 0.191 1.960 (0.164)(0.836) (0.355)(0.645) 244 245 (0.164)(0.836) (0.355)(0.645) 0.191 1.960V 244 245 (0.355)(0.645) 245 (0.164)(0.836) -0.191 + 1.645V 244 (0.164)(0.836) (0.355)(0.645) -0.191 1.645 244 245 (0.260)(0.740) -0.191 + 1.960 489
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