In each of the following problems, the confidence level and the bound on the error of estimation are given. Find the sample size necessary to produce a confidence interval for p with this bound and...

In each of the following problems, the confidence level and the bound on the error of estimation are given. Find the sample size necessary to produce a confidence interval for p with this bound and confidence level.

Three factors affect the width of a large-sample confidence interval for p: the confidence level, the sample size, and the sample proportion
 of the following problems, determine whether the width of the resulting confidence interval for p increases or decreases.

Three factors affect the size of the sample necessary to produce a confidence interval for p with certain properties: the confidence level, the bound on the error of estimation, and the estimate of
 In each of the following problems, determine whether the necessary sample size increases or decreases.