Suppose a Random Sample Of $\mathrm { n }$ Measurements Is Selected from a Binomial Population with Probability of Is

Suppose a random sample of $\mathrm { n }$ measurements is selected from a binomial population with probability of success $\mathrm { p } = .32$ . Given $\mathrm { n } = 400$ , describe the shape, and find the mean and the standard deviation of the sampling distribution of the sample proportion, $\hat { p }$ .

A) approximately normal; 0.32, 0.0005
B) approximately normal; 0.32, 0.023
C) skewed right; 128, 9.33
D) skewed right; 0.32, 0.023