Suppose a simple random sample of size n 50 is obtained from a population whose size is N20,000 and whose population proportion with a specified characteristic is p 0.4 (a) Describe the sampling distribution of p Choose the phrase that best describes the shape of the sampling distribution below OA. Approximately normal because ns0.05N and np(1 - p) 2 10 O B. Not normal because ns 0.05N and np(1 - p)2 10. O C. Approximately normal because ns0.05N and np(1 - p)< 10 O D. Not normal because ns0.05N and np(1- p) 10 Determine the mean of the sampling distribution of p. (Round to one decimal place as needed.) HA Determine the standard deviation of the sampling distribution of p. (Round to six decimal places as needed.) (b) What is the probability of obtaining x 23 or more individuals with the characteristic? That is, what is P(p 0.46)? P20.46)= (Round to four decimal places as needed.) (c) What is the probability of obtaining x 16 or fewer individualss with the characteristic? That is, what is P(p s0.32)? PG S0.32)= (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
Problem 34CR
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Suppose a simple random sample of size n 50 is obtained from a population whose size is N20,000 and whose population proportion with a specified characteristic is p 0.4
(a) Describe the sampling distribution of p
Choose the phrase that best describes the shape of the sampling distribution below
OA. Approximately normal because ns0.05N and np(1 - p) 2 10
O B. Not normal because ns 0.05N and np(1 - p)2 10.
O C. Approximately normal because ns0.05N and np(1 - p)< 10
O D. Not normal because ns0.05N and np(1- p) 10
Determine the mean of the sampling distribution of p.
(Round to one decimal place as needed.)
HA
Determine the standard deviation of the sampling distribution of p.
(Round to six decimal places as needed.)
(b) What is the probability of obtaining x 23 or more individuals with the characteristic? That is, what is P(p 0.46)?
P20.46)=
(Round to four decimal places as needed.)
(c) What is the probability of obtaining x 16 or fewer individualss with the characteristic? That is, what is P(p s0.32)?
PG S0.32)=
(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 N20,000 and whose population proportion with a specified characteristic is p 0.4 (a) Describe the sampling distribution of p Choose the phrase that best describes the shape of the sampling distribution below OA. Approximately normal because ns0.05N and np(1 - p) 2 10 O B. Not normal because ns 0.05N and np(1 - p)2 10. O C. Approximately normal because ns0.05N and np(1 - p)< 10 O D. Not normal because ns0.05N and np(1- p) 10 Determine the mean of the sampling distribution of p. (Round to one decimal place as needed.) HA Determine the standard deviation of the sampling distribution of p. (Round to six decimal places as needed.) (b) What is the probability of obtaining x 23 or more individuals with the characteristic? That is, what is P(p 0.46)? P20.46)= (Round to four decimal places as needed.) (c) What is the probability of obtaining x 16 or fewer individualss with the characteristic? That is, what is P(p s0.32)? PG S0.32)= (Round to four decimal places as needed.)
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ISBN:
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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