termine the standard deviation of the sampling distribution of p. = 0.034641 (Round to six decimal places as needed.) ) What is the probability of obtaining x= 90 or more individuals with the characteristic? That is, what is P(p20.45)? %3D 20.45) = (Round to four decimal places as needed.)
termine the standard deviation of the sampling distribution of p. = 0.034641 (Round to six decimal places as needed.) ) What is the probability of obtaining x= 90 or more individuals with the characteristic? That is, what is P(p20.45)? %3D 20.45) = (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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![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= 0.4. Complete parts (a) through (c) below.
(a) Describe the sampling distribution of p.
Choose the phrase that best describes the shape of the sampling distribution below.
O A. Not normal because ns0.05N and np(1-p)< 10.
B. Approximately normal because ns0.05N and np(1-p) 2 10.
C. Not normal because n<0.05N and np(1-p) 10.
O D. Approximately normal because ns0.05N and np(1-p)<10.
Determine the mean of the sampling distribution of p.
HA = 0.4 (Round to one decimal place as needed.)
Determine the standard deviation of the sampling distribution of p.
GA = 0.034641 (Round to six decimal places as needed.)
(b) What is the probability of obtaining x = 90 or more individuals with the characteristic? That is, what is P(p20.45)?
P(p20.45) = (Round to four decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca98936e-33c7-4402-95ae-aeafe8e3f8b8%2F90cf7468-cc99-42d5-88c5-b5c25cf2c4d0%2Fm2z1pf_processed.jpeg&w=3840&q=75)
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= 0.4. Complete parts (a) through (c) below.
(a) Describe the sampling distribution of p.
Choose the phrase that best describes the shape of the sampling distribution below.
O A. Not normal because ns0.05N and np(1-p)< 10.
B. Approximately normal because ns0.05N and np(1-p) 2 10.
C. Not normal because n<0.05N and np(1-p) 10.
O D. Approximately normal because ns0.05N and np(1-p)<10.
Determine the mean of the sampling distribution of p.
HA = 0.4 (Round to one decimal place as needed.)
Determine the standard deviation of the sampling distribution of p.
GA = 0.034641 (Round to six decimal places as needed.)
(b) What is the probability of obtaining x = 90 or more individuals with the characteristic? That is, what is P(p20.45)?
P(p20.45) = (Round to four decimal places as needed.)
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