question archive Nicotine patches are often used to help smokers quit
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Nicotine patches are often used to help smokers quit. Does adding antidepressants to the nicotine patches help? A randomized double-blind experiment assigned 252 to receive a patch that includes the antidepression drug bupropion and 235 smokers who wanted to stop to receive regular nicotine patches. After a year, 84 in the patch & drug group had abstained from smoking and 50 subjects in the nicotine patch group
.p?patch & drug= _______ (3 decimals - this is the treatment group)
p?patch= ______ (3 decimals - this is the control group)
Conclusion:
a. The patch/bupropion combination increases the success rate by this interval over the patch alone 90% of the time.
b. We are 90% confident that the patch/bupropion combination decreases the success rate by this interval over the patch alone.
c. We are 90% confident that the patch/bupropion combination increases the success rate by this interval over the patch alone.
d. The patch/bupropion combination decreases the success rate by this interval over the patch alone 90% of the time.
The answer is:
c -We are 90% confident that the patch/bupropion combination increases the success rate by this interval over the patch alone.
Step-by-step explanation
Here, , n1 = 252 , n2 = 235
p?patch & drug =84/252= 0.333
p?patch = 50/235=0.213
Standard Error, sigma(p1cap - p2cap),
SE = sqrt(p1cap * (1-p1cap)/n1 + p2cap * (1-p2cap)/n2)
SE = sqrt(0.333 * (1-0.333)/252 + 0.213*(1-0.213)/235)
SE = 0.0399
For 0.9 CI, z-value = 1.64
Confidence Interval,
CI = (p1cap - p2cap - z*SE, p1cap - p2cap + z*SE)
CI = (0.333 - 0.2111 - 1.64*0.0399, 0.333 - 0.213+ 1.64*0.0399)
CI = (0.0546 , 0.1854)
c -We are 90% confident that the patch/bupropion combination increases the success rate by this interval over the patch alone.
Since the CI doesn't include both p calculated before.