How likely are you to vote in the next national election? In a survey by Pew Research, fully 77% of the registered Republican voters are absolutely going to vote this year while only 65% of Democrats are absolutely going to vote in the next election. The sample consisted of 469 registered Republicans, 490 registered Democrats, and 480 registered Independents.
a. Construct a 98% confidence interval for the proportion of registered Republicans who say they are absolutely going to vote in the next election. If a Republican senator predicts that at least 85% of registered Republicans will absolutely vote in the next election, is this figure realistic?
b. Construct a 99% confidence interval for the proportion of registered Democrats who say they are absolutely going to vote in the next election.