In October of 2019, Gallup asked a random sample of 1,506 Americans which of two approaches to punishing

murder they thought was better, the death penalty or life without possibility of parole. For the first time

since Gallup began asking the question in 1985, a majority of Americans now say life imprisonment is a better

approach for punishing murder than is the death penalty. According to the 2019 Gallup death-penalty poll, 60%

percent of Americans asked to choose whether the death penalty or life without possibility of parole "is the

better penalty for murder" chose the life-sentencing option. 36% favored the death penalty.

a)Find a 95% confidence interval for the proportion adults in the US that now believelife imprisonment is a better approach for punishing murder.( for this problem, use the appropriate command in your calculator and write out what you entered.)

b)Interpret your interval above in the context of this problem.

c)Use your interval to find the margin of error associated with this confidence interval.

d)If we increase the level of confidence to 98%, will the interval be wider or narrower?