Question

A 2001 poll of Catholics and non-Catholics was conducted. The sane pople were asked about the moral acceptability of four topics. The results are Death penalty: Catholics: 161/737; non-Catholics: 1485/2281 . Divorce: Catholcs: 501/737; non-Catholics: 1438/2281 Homosexual behavior: Cato 351/737; non-Catholics: 991/2281 Stem cells: Catholics: 101/737 ;noCatholics: 1210/2281 Answer the following questions a) For cach topic, give confidence intervals for the difference in mean fractions supporting it between Catholics and non-Catholics. This means you should have four confidence intervals. Your intervals should be built such that they all cover 95% of the time i.e. you ust correct for the fact that your bui b) Say that your hypothesis is that The population mean fractions supporting a between Catholics and non-Catholics of these topics does not differ Use your confidence intervals to either reject or fail to reject this hypothesis.

Answer 1

b)

From 1, the confidence interval includes the value zero. Hence, there is no difference between the Catholics and Non-Catholics for the death penalty at the 0.05 significance level.

From 2, the confidence interval does not include the value zero. Hence, there is a difference between the Catholics and Non-Catholics for the divorce at the 0.05 significance level.

From 3, the confidence interval does not include the value zero. Hence, there is a difference between the Catholics and Non-Catholics for Homosexual behavior at the 0.05 significance level.

From 4, the confidence interval includes the value zero. Hence, there is no difference between the Catholics and Non-Catholics for the Stem cells at the 0.05 significance level.