Nicotine patches are often used to help smokers quit. Does adding antidepressant

Question

Nicotine patches are often used to help smokers quit. Does adding antidepressants to the nicotine patches help? A randomized double-blind experiment assigned 231 to receive a patch that includes the antidepression drug bupropion and 251 smokers who wanted to stop to receive regular nicotine patches. After a year, 85 in the patch-plus-drug group had abstained from smoking and 42 subjects in the nicotine patch group Ppatch-drug Ppatch (3 decimals this is the treatment group) (3 decimals this is the control group) Use StatCrunch ( Stat > Proportion Stats > To Sample With Summary) to find a 95% confidence interval for the difference (treatment minus control) in the proportion of smokers who quit. Conclusion The patch/bupropion combination decreases the success rate by this interval over the patch alone 95% of the time The patch/bupropion combination increases the success rate by this interval over the patch alone 95% of the time. O We are 95% confident that the patch/bupropion combination increases the success rate by this interval over the patch alone we are 95% confident that the patch/bupropion combination decreases the success rate by this interval over the patch alone

Explanation / Answer

Here,

ppatch-drug = p1 = 85/ 231 = 0.368

ppatch = p2 = 42/251 = 0.167

95% confidence interval for the difference in the proportion of smokers who quit

= ( ppatch-drug - ppatch) +- Z95% sqrt [p1 (1 - p1)/ N1 + p2 (1-p2)/ N2]

= (0.368 - 0.167) +- 1.96 * sqrt [ 0.368 * 0.632/ 231 + 0.167 * 0.833/251]

= 0.201 +- 1.96 * 0.0395

= 0.201 +- 0.0774

= (0.1236, 0.2784)

Conclusion.

Here option C is correct that we are 95% confident that the patch/burpopian combination increases the success rate by this interval over the patch alone.

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