Question: In May of 2002, the Gallup Organization asked a random sample of 537 American adults this question:

if you could choose between the following two approaches, which do you think is better penalty for murder, the death penalty or life imprisonment, with absolutely no possibility of parole?

of those polled, 52% chose the death penalty.

a) create a 95% confidence interval for the percentage of all American adults who favor the death penalty. Show what the error for the confidence interval is also.

b) based on your confidence interval, is it clear that the death penalty has majority support? explain.
c) If pollster wanted to follow up on this poll with another survey that could determine the level of support for the death penalty to within 2% with 98% confidence, how many people should they poll?