Suppose a simple random sample of size n = 1000 is obtained from a population whose size is N=2,000,000 and whose population proportion with a specified characteristic is p= 0.22. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p O A. Approximately normal, ua =0.22 and o 0.0131 O B. Approximately normal, H =0.22 and o s 0.0003 OC. Approximately normal, u. =0.22 and o. 0.0002 (b) What is the probability of obtaining x= 250 or more individuals with the characteristic? P(x2 250) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x= 180 or fewer individuals with the characteristic? P(xs 180) = (Round to four decimal places as needed.)

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