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 is p = 0.51. 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 OA. Approximately normal, p=0.51 and σ 0.0158 OB. Approximately normal, H =0.51 and σ 0.0004 OC. Approximately normal, p=0.51 and σ 0.0002 (b) What is the probability of obtaining x = 530 or more individuals with the characteristic? P(x≥ 530)=(Round to four decimal places as needed.) (c) What is the probability of obtaining x = 480 or fewer individuals with the characteristic? P(xs 480)= (Round to four decimal places as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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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 is p = 0.51. 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
OA. Approximately normal, p=0.51 and σ 0.0158
OB. Approximately normal, H =0.51 and σ 0.0004
OC. Approximately normal, p=0.51 and σ 0.0002
(b) What is the probability of obtaining x = 530 or more individuals with the characteristic?
P(x≥ 530)=(Round to four decimal places as needed.)
(c) What is the probability of obtaining x = 480 or fewer individuals with the characteristic?
P(xs 480)= (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 is p = 0.51. 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 OA. Approximately normal, p=0.51 and σ 0.0158 OB. Approximately normal, H =0.51 and σ 0.0004 OC. Approximately normal, p=0.51 and σ 0.0002 (b) What is the probability of obtaining x = 530 or more individuals with the characteristic? P(x≥ 530)=(Round to four decimal places as needed.) (c) What is the probability of obtaining x = 480 or fewer individuals with the characteristic? P(xs 480)= (Round to four decimal places as needed.)
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