One question on a recent General Social Survey asked, “Do you think that it should be government’s responsibility to reduce income differences between the rich and the poor?” Those answering yes included 90 of the 142 subjects who called themselves strong Democrat in political party identification and 26 of the 102 who called themselves strong Republican.

(a) Find the point estimate of the population proportion who would answer yes for each group.

(b) The 95% confidence interval for the population proportion of yes responses is (0.55, 0.71) for strong Democrats and (0.17, 0.34) for strong Republicans.
Explain how to interpret the intervals.