Suppose a simple random sample of size n = 200 is obtained from a population whose size is N=20,000 and whose population proportion with a specified characteristic is p=0.8. Complete parts (a) through (c) below. (a) Describe the sampling distribution or p. Choose the phrase that best describes the shape of the sampling distribution below. A. Approximately normal because n ≤0.05N and np(1-p) ≥ 10. OB. Not normal because n ≤0.05N and np(1-p) < 10. OC. Not normal because n ≤0.05N and np(1-p) ≥ 10. O D. Approximately normal because n ≤0.05N and np(1-p) < 10. Determine the mean of the sampling distribution of p. HA 8 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. GA= .028284 (Round to six decimal places as needed.) (b) What is the probability of obtaining x= 162 or more individuals with the characteristic? That is, what is P(p ≥0.81)? P(p20.81)=[ (Round to four decimal places as needed.)

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Suppose a simple random sample of size n = 200 is obtained from a population whose size is N = 20,000 and whose
population proportion with a specified characteristic is p = 0.8. Complete parts (a) through (c) below.
(a) Describe the sampling aistribution or p.
Choose the phrase that best describes the shape of the sampling distribution below.
A. Approximately normal because n ≤0.05N and np(1-p) ≥ 10.
OB. Not normal because n ≤0.05N and np(1-p) < 10.
OC. Not normal because n ≤0.05N and np(1-p) ≥ 10.
O D. Approximately normal because n ≤0.05N and np(1-p) < 10.
Determine the mean of the sampling distribution of p.
HA 8 (Round to one decimal place as needed.)
p
Determine the standard deviation of the sampling distribution of p.
GA .028284 (Round to six decimal places as needed.)
р
(b) What is the probability of obtaining x= 162 or more individuals with the characteristic? That is, what is P(p ≥0.81)?
P(p20.81)=(Round to four decimal places as needed.)
example Get more help.
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Transcribed Image Text:Suppose a simple random sample of size n = 200 is obtained from a population whose size is N = 20,000 and whose population proportion with a specified characteristic is p = 0.8. Complete parts (a) through (c) below. (a) Describe the sampling aistribution or p. Choose the phrase that best describes the shape of the sampling distribution below. A. Approximately normal because n ≤0.05N and np(1-p) ≥ 10. OB. Not normal because n ≤0.05N and np(1-p) < 10. OC. Not normal because n ≤0.05N and np(1-p) ≥ 10. O D. Approximately normal because n ≤0.05N and np(1-p) < 10. Determine the mean of the sampling distribution of p. HA 8 (Round to one decimal place as needed.) p Determine the standard deviation of the sampling distribution of p. GA .028284 (Round to six decimal places as needed.) р (b) What is the probability of obtaining x= 162 or more individuals with the characteristic? That is, what is P(p ≥0.81)? P(p20.81)=(Round to four decimal places as needed.) example Get more help. % 5 ... 6 I' 101 √i MacBook Pro & 7 II * 00 8 Vi I, (0,0) More Clear all ( 9 Check answer Question 7 (0.33/1) Question 8 (0/1) O
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