不 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. A. Approximately normal, p=0.22 and 0.0131 B. Approximately normal, μ OC. Approximately normal, H P P =0.22 and σ 0.0003 p =0.22 and σ 0.0002 P (b) What is the probability of obtaining x = 250 or more individuals with the characteristic? P(x≥250)=(Round to four decimal places as needed.) (c) What is the probability of obtaining x = 180 or fewer individuals with the characteristic? P(x≤180)=(Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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=0.22. Complete
parts (a) through (c) below.
(a) Describe the sampling distribution of p.
A. Approximately normal, p=0.22 and 0.0131
B. Approximately normal, μ
OC. Approximately normal, H
P
P
=0.22 and σ 0.0003
p
=0.22 and σ 0.0002
P
(b) What is the probability of obtaining x = 250 or more individuals with the characteristic?
P(x≥250)=(Round to four decimal places as needed.)
(c) What is the probability of obtaining x = 180 or fewer individuals with the characteristic?
P(x≤180)=(Round to four decimal places as needed.)
Transcribed Image Text:不 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. A. Approximately normal, p=0.22 and 0.0131 B. Approximately normal, μ OC. Approximately normal, H P P =0.22 and σ 0.0003 p =0.22 and σ 0.0002 P (b) What is the probability of obtaining x = 250 or more individuals with the characteristic? P(x≥250)=(Round to four decimal places as needed.) (c) What is the probability of obtaining x = 180 or fewer individuals with the characteristic? P(x≤180)=(Round to four decimal places as needed.)
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