2) 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, 60% (or 904 out of the 1506 Americans sampled), now say life imprisonment is a better approach for punishing murder. 36% favored the death penalty.

a) Use the1-PropZInt command in your calculator to find a 95% confidence interval for the proportion of Americans that now believe life imprisonment is a better approach for punishing murder.

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

C) A local official claims that 65% of Americans believe life imprisonment is a better approach for punishing murder. Does the confidence interval support this claim? Explain.

3) Minnesota Public Radio wants to duplicate a survey conducted in 2016 that found that 65% of adults living in Minnesota felt that the country was going in the wrong direction. How many people would need to be surveyed for a 90% confidence interval to ensure the margin of error would be 3%? To receive credit, write the formula and the values you entered. Be sure to round properly.

4) Suppose the problem above (#3) included no previous survey information and instead said: Minnesota Public Radio is planning to conduct a survey to find the proportion of adults living in Minnesota that feel the country was going in the wrong direction. How many people would need to be surveyed for a 90% confidence interval to ensure the margin of error would be 3%? How will your calculation change? Solve this alternate version of the problem. To receive credit, write the formula and the values you entered. Be sure to round properly. (4 pts