Suppose a simple random sample size n = 75 is obtained from a population whose size is N = 20,000 and whose population proportion with a specified characteristic is p = 0.6. 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) Not normal because n 0.05N and np(1-p) < 10 D) Approximately normal because N 0.05N and np(1-p) 10 Determine the mean of the sampling distribution of p. p = ? (Round to one decimal place as needed) Determine the standard deviation of the sampling distribution of p. p = ? (Round to one decimal place as needed) b) What is the probability of obtaining x = 48 or more individuals with the characteristic? That is, P(p 0.64) = ? (Round to four decimal place as needed) c) What is the probability of obtaining x = 39 or fewer individuals with the characteristic? That is, what is P(p 0.52) = ? (Round to four decimal place as needed)