Suppose a simple random sample of size n= 1000 is obtained from a population whose size is N = 1,500,000 and whose population proportion with characteristic is p = 0.31. Complete parts (a) through (c) below. (a) Describe the sampling distribution of р. O A. Approximately normal, µa = 0.31 and ơn 0.0002 p O B. Approximately normal, µa = 0.31 and on 0.0146 p O C. Approximately normal, µa = 0.31 and on 0.0004 p p (b) What is the probability of obtaining x = 330 or more individuals with the characteristic? P(x2 330) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 280 or fewer individuals with the characteristic? P(xs280) = (Round to four decimal places as needed.)

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Suppose a simple random sample of size n= 1000 is obtained from a population whose size is N = 1,500,000 and whose population proportion with a specified
characteristic isp=0.31. Complete parts (a) through (c) below.
(a) Describe the sampling distribution of p.
O A. Approximately normal, µa = 0.31 and on 0.0002
O B. Approximately normal, Ha = 0.31 and on 0.0146
O C. Approximately normal, µa = 0.31 and on 0.0004
(b) What is the probability of obtaining x = 330 or more individuals with the characteristic?
P(x2 330) =
(Round to four decimal places as needed.)
(c) What is the probability of obtaining x= 280 or fewer individuals with the characteristic?
P(xs 280) = (Round to four decimal places as needed.)
Transcribed Image Text:Suppose a simple random sample of size n= 1000 is obtained from a population whose size is N = 1,500,000 and whose population proportion with a specified characteristic isp=0.31. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p. O A. Approximately normal, µa = 0.31 and on 0.0002 O B. Approximately normal, Ha = 0.31 and on 0.0146 O C. Approximately normal, µa = 0.31 and on 0.0004 (b) What is the probability of obtaining x = 330 or more individuals with the characteristic? P(x2 330) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x= 280 or fewer individuals with the characteristic? P(xs 280) = (Round to four decimal places as needed.)
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