suppose a simple random sample of size n = 1000 is obtained from a population whose size is N = 1000000 and whose population proportion with a specific characteristic is p = 0.44

Suppose a simple random sample of size n = 1000 is obtained from a population whose size is N = 1,000,000 and whose population proportion with a specified characteristic is p= 0.44. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p. O A. Approximately normal, u- = 0.44 and on A 0.0005 B. Approximately normal, ji = 0.44 and On # 0.0157 O C. Approximately normal uk #0,44 and on ~ 0.0002 (b) What is the probability of obtaining x =470 or more individuals with the characteristic? P(x2 470)= (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 420 or fewer individuals with the characteristic? P(x = 420) = (Round to four decimal places as needed.)