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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 = 0.49. Complete parts (a) through (c) below.
(a) Describe the sampling distribution of p. O A. Approximately normal, JA = 0.49 and GA ~ 0.0002 P P O B. Approximately normal, JA = 0.49 and ox ~ 0.0004 P P O C. Approximately normal, JA = 0.49 and or ~ 0.0158 P P
(b) What is the probability of obtaining x = 520 or more individuals with the characteristic? P(x 2 520) = (Round to four decimal places as needed.)
(c) What is the probability of obtaining x = 470 or fewer individuals with the characteristic? P(XS 470) = (Round to four decimal places as needed.)
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