In each of the following problems, the size and the number of individuals or objects with a certain characteristic are given for samples from two populations. Check the two nonskewness inequalities...

In each of the following problems, the size and the number of individuals or objects with a certain characteristic are given for samples from two populations. Check the two nonskewness inequalities for both samples, and determine whether a large-sample test concerning two population proportions is appropriate.

In each of the following problems, the sample sizes and population proportions are given. Find the mean, variance, and standard deviation of the estimator P = 1 2 P = 2, and compute each probability.