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. C. Approximately normal because ns0.05N and np(1 - p) 2 10. D. Not normal because n s0.05N 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. On = 0.069282 (Round to six decimal places as needed.) p (b) What is the probability of obtaining x = 31 or more individuals with the characteristic? That is, what is P(p20.62)? P(p20.62) =(Round to four decimal places as needed.)

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Suppose a simple random sample of size n=50is 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.
%3D
C. Approximately normal because n<0.05N and np(1 - p) 2 10.
D. Not normal because ns0.05N and np(1 - p) > 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.
On = 0.069282 (Round to six decimal places as needed.)
(b) What is the probability of obtaining x= 31 or more individuals with the characteristic? That is, what is P(p 2 0.62)?
Pp20.62) = |
(Round to four decimal places as needed.)
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. %3D C. Approximately normal because n<0.05N and np(1 - p) 2 10. D. Not normal because ns0.05N and np(1 - p) > 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. On = 0.069282 (Round to six decimal places as needed.) (b) What is the probability of obtaining x= 31 or more individuals with the characteristic? That is, what is P(p 2 0.62)? Pp20.62) = | (Round to four decimal places as needed.)
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