Suppose that we will randomly select a sample of n = 111 elements from a population and that we will compute the sample proportion of these elements that fall into a category of interest. If the true population proportion p equals .7:
(a) Describe the shape of the sampling distribution of . Why can we validly describe the shape?
(b) Find the mean and the standard deviation of the sampling distribution of . (Round the answers to 2 decimal places.)