A researcher wanted to know the percentage of judges who are in favor of the death penalty. He took a random sample of 15 judges and asked them whether or not they favor the death penalty. The...

A researcher wanted to know the percentage of judges who are in favor of the death penalty. He took a random sample of 15 judges and asked them whether or not they favor the death penalty. The responses of these judges are given here.

a.What is the point estimate of the population proportion?


Round your answer to three decimal places.


p^= Enter your answer; point estimate



b. Construct a 98% confidence interval for the percentage of all judges who are in favor of the death penalty.


Round your answers for the confidence interval to three decimal places, and your answers for the percentage confidence interval to one decimal places.


The confidence interval is Enter your answer; confidence interval, lower bound to Enter your answer; confidence interval, upper bound .


The corresponding interval for the population percentage is Enter your answer; confidence interval for the population percentage, lower bound % to Enter your answer; confidence interval for the population percentage, upper bound %.