Suppose a simple random sample of size n = 50 is obtained from a population whose size is N = 30,000 and whose population proportion with a specified characteristic is p = 0.6. Complete parts (a) through (c) below. ^ (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. A. Approximately normal because n 0.05N and np(1 - p) < 10. B. Not normal because n 0.05N and np(1 - p) 10. 'C. Approximately normal because n0.05N and np(1 - p) 10. D. Not normal because n 0.05N and np(1 - p) < 10. Determine the mean of the sampling distribution of p. = .6 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. = .069283 (Round to six decimal places as needed.) (b) What is the probability of obtaining x = 31 or more individuals with the characteristic? That is, what is P(p 0.62)? P(p 0.62) = (Round to four decimal places as needed.)