Large-Sample Test for the Difference in 2 Population Proportions A study was con

Question

Large-Sample Test for the Difference in 2 Population Proportions A study was conducted to compare 2 types of high blood pressure drugs and their suspected link to cancer. One type, is called calcium-channel blockers and the other is called beta-blockers. A random sample of 202 elderly patients (sample 1) was selected from the population of elderly people taking calcium-channel blockers. A random sample of 424 elderly patients (sample 2) was selected from the population of elderly people taking beta-blockers. Of the 202 patients taking calcium-channel blockers, 27 developed cancer. Of the 424 taking beta-blockers, 28 developed cancer. Test the claim that elderly patients who take calcium-channel blockers have a significantly higher rate of cancer than elderly patients who take beta-blockers. Use a .01 significance level. The alternative hypothesis is a. p1 > p2 b.p1

Explanation / Answer

We Have to claim that Elderly patients who take calcium channel blocker have a significantly higher rate of cancer than elderly patients who take beta blocker

so

H0: p1=p2 and H1:p1>p2

hence

a) p1>p2 is correct

x1=27 n1=202

x2=28 n2=424

Est(p1-p2) =(27/20) -(28/424) =0.1337 -0.066 =0.0677

Pooled Variance =(x1+x2) /(n1+n2) =(27+28)/(202+424) =55/626 =0.0878

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