Suppose a simple random sample of size n=50 is obtained from a population whose size is N=20,000 and whose population proportion with a specified characteristic is p=0.6. Complete parts ​(a) through​ (c) below.

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Suppose a simple random sample of size n=50 is obtained from a population whose size is N=20,000 and whose population proportion with a specified characteristic is p=0.6. Complete parts ​(a) through​ (c) below.

 

Suppose a simple random sample of size n = 50 is obtained from a population whose size is N= 20,000 and whose population proportion with a specified characteristic
is p = 0.6. Complete parts (a) through (c) below.
A. Approximately normal because n<0.05N and np(1 - p) < 10.
B. Not normal because n<0.05N and np(1 - p) < 10.
C. Approximately normal because ns0.05N and np(1 - p) 2 10.
D. Not normal because n<0.05N and np(1 - p) 2 10.
Determine the mean of the sampling distribution of p.
HA = 0.6 (Round to one decimal place as needed.)
Determine the standard deviation of the sampling distribution of p.
(Round to six decimal places as needed.)
p
Transcribed Image Text:Suppose a simple random sample of size n = 50 is obtained from a population whose size is N= 20,000 and whose population proportion with a specified characteristic is p = 0.6. Complete parts (a) through (c) below. A. Approximately normal because n<0.05N and np(1 - p) < 10. B. Not normal because n<0.05N and np(1 - p) < 10. C. Approximately normal because ns0.05N and np(1 - p) 2 10. D. Not normal because n<0.05N and np(1 - p) 2 10. Determine the mean of the sampling distribution of p. HA = 0.6 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. (Round to six decimal places as needed.) p
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