Suppose a simple random sample of size n = 75 is obtained from a population whose size is N = 20,000 and whose population proportion with a specified characteristicis 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 n ≤0.05N and np(1-p) < 10. OB. Approximately normal because n ≤0.05N and np(1-p) ≥ 10. OC. Not normal because n ≤0.05N and np(1-p) 2 10. OD. Not normal because n≤0.05N and np (1-p) < 10. (b) What is the probability of obtaining x= 33 or more individuals with the characteristic? That is, what is P(p20.44) P(p ≥ 0.44)= (Round to four decimal places as needed.)
Suppose a simple random sample of size n = 75 is obtained from a population whose size is N = 20,000 and whose population proportion with a specified characteristicis 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 n ≤0.05N and np(1-p) < 10. OB. Approximately normal because n ≤0.05N and np(1-p) ≥ 10. OC. Not normal because n ≤0.05N and np(1-p) 2 10. OD. Not normal because n≤0.05N and np (1-p) < 10. (b) What is the probability of obtaining x= 33 or more individuals with the characteristic? That is, what is P(p20.44) P(p ≥ 0.44)= (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Suppose a simple random sample of size n = 75 is obtained from a population whose size is N = 20,000 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 n < 0.05N and np(1-p) < 10.
OB. Approximately normal because n ≤0.05N and np (1-p) ≥ 10.
OC. Not normal because n≤0.05N and np (1-p) ≥ 10.
OD. Not normal because n≤0.05N and np(1-p) < 10.
(b) What is the probability of obtaining x =33 or more individuals with the characteristic? That is, what is P(p>0.44)
P(p>0.44)=
(Round to four decimal places as needed.)
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