In May of 2006, 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 the better penalty for murder, the death penalty or life imprisonment, with absolutely no possibility of parole? Of those polled, 47% chose the death penalty, the lowest percentage in the 21 years that Gallup has asked this question. a) Create a 95% confidence interval for the percentage of all American adults who favor the death penalty. b) Based on your confidence interval, is it clear that the death penalty no longer has majority support? Explain. c) If pollsters 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?