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=0.53. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2) (a) Describe the sampling distribution of p. O A. Approximately normal, μ = 0.53 and σ≈ 0.0004 Р 0.0158 0.0002 OB. Approximately normal, μ = 0.53 and Р Р OC. Approximately normal, μ = 0.53 and P Р (b) What is the probability of obtaining x = 560 or more individuals with the characteristic? P(x2560) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x=510 or fewer individuals with the characteristic? P(x≤510)= (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 = 2,000,000 and whose population proportion with a specified characteristic is p = 0.53. Complete
parts (a) through (c) below.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2)
(a) Describe the sampling distribution of p.
O A. Approximately normal, μ = 0.53 and
р
р
≈ 0.0004
B. Approximately normal, μ = 0.53 and o~ 0.0158
р
р
OC. Approximately normal, µ^ = 0.53 and ≈ 0.0002
р
р
(b) What is the probability of obtaining x = 560 or more individuals with the characteristic?
(Round to four decimal places as needed.)
P(x ≥ 560) =
(c) What is the probability of obtaining x = 510 or fewer individuals with the characteristic?
P(x ≤ 510) = (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 = 2,000,000 and whose population proportion with a specified characteristic is p = 0.53. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2) (a) Describe the sampling distribution of p. O A. Approximately normal, μ = 0.53 and р р ≈ 0.0004 B. Approximately normal, μ = 0.53 and o~ 0.0158 р р OC. Approximately normal, µ^ = 0.53 and ≈ 0.0002 р р (b) What is the probability of obtaining x = 560 or more individuals with the characteristic? (Round to four decimal places as needed.) P(x ≥ 560) = (c) What is the probability of obtaining x = 510 or fewer individuals with the characteristic? P(x ≤ 510) = (Round to four decimal places as needed.)
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