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 = 0.37. Complete parts (a) through (c) below. A (a) Describe the sampling distribution of p. O A. Approximately normal, μ = 0.37 and р OB. Approximately normal, μ = 0.37 and р р р 0.0002 ≈ 0.0005 OC. Approximately normal, μ = 0.37 and o≈ 0.0153 Р Р (b) What is the probability of obtaining x = 390 or more individuals with the characteristic? (Round to four decimal places as needed.) P(x ≥ 390) = (c) What is the probability of obtaining x = 340 or fewer individuals with the characteristic? P(x≤ 340) = (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 = 1,000,000 and whose population
proportion with a specified characteristic is p = 0.37. Complete parts (a) through (c) below.
(a) Describe the sampling distribution of p.
A. Approximately normal, μ = 0.37 and o≈ 0.0002
р
р
O B. Approximately normal, µ^ = 0.37 and ≈ 0.0005
р
р
O C. Approximately normal, μ = 0.37 and o≈ 0.0153
р
р
(b) What is the probability of obtaining x = 390 or more individuals with the characteristic?
(Round to four decimal places as needed.)
P(x ≥ 390) =
(c) What is the probability of obtaining x = 340 or fewer individuals with the characteristic?
P(x≤ 340) = (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 = 1,000,000 and whose population proportion with a specified characteristic is p = 0.37. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p. A. Approximately normal, μ = 0.37 and o≈ 0.0002 р р O B. Approximately normal, µ^ = 0.37 and ≈ 0.0005 р р O C. Approximately normal, μ = 0.37 and o≈ 0.0153 р р (b) What is the probability of obtaining x = 390 or more individuals with the characteristic? (Round to four decimal places as needed.) P(x ≥ 390) = (c) What is the probability of obtaining x = 340 or fewer individuals with the characteristic? P(x≤ 340) = (Round to four decimal places as needed.)
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