Suppose a simple random sample of size n =150 is obtained from a population whose size is N =15,000 and whose population proportion with a specified characteristic is p=0.8. 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. A. Not normal because n<0.5N and np(1-p)<10. B. Approximately normal because n<0.5N and np(1-p)<10 C. Not normal because n<0.5N and np(1-p)>10 D. Approximately normal because n<0.5N and np(1-p)>10 Determine the mean of the sampling distribution of p. HA= (Round to one decimal place as needed.) 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=123 or more individuals with the characteristic? That is, what is P(p>0.82)? P(p>0.82)? =
Suppose a simple random sample of size n =150 is obtained from a population whose size is N =15,000 and whose population proportion with a specified characteristic is p=0.8. 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. A. Not normal because n<0.5N and np(1-p)<10. B. Approximately normal because n<0.5N and np(1-p)<10 C. Not normal because n<0.5N and np(1-p)>10 D. Approximately normal because n<0.5N and np(1-p)>10 Determine the mean of the sampling distribution of p. HA= (Round to one decimal place as needed.) 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=123 or more individuals with the characteristic? That is, what is P(p>0.82)? P(p>0.82)? =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Suppose a simple random sample of size n =150 is obtained from a population whose size is N =15,000 and whose population proportion with a specified characteristic is p=0.8. 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. A. Not normal because n<0.5N and np(1-p)<10.
B. Approximately normal because n<0.5N and np(1-p)<10
C. Not normal because n<0.5N and np(1-p)>10
D. Approximately normal because n<0.5N and np(1-p)>10
Determine the mean of the sampling distribution of p. HA=
(Round to one decimal place as needed.)
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=123 or more individuals with the characteristic? That is, what is
P(p>0.82)? P(p>0.82)? =
(Round to four decimal places as needed)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Suppose a simple random sample of size n =150 is obtained from a population whose size is N =15,000 and whose population proportion with a specified characteristic is p=0.8. 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. A. Not normal because n<0.5N and np(1-p)<10.
B. Approximately normal because n<0.5N and np(1-p)<10
C. Not normal because n<0.5N and np(1-p)>10
D. Approximately normal because n<0.5N and np(1-p)>10
Determine the mean of the sampling distribution of p. HA=
(Round to one decimal place as needed.)
Determine the standard deviation of the sampling distribution of p. =
(Round to six decimal places as needed)
(b) What is the probability of obtaining
or more individuals with the characteristic? That is, what is P(p>0.82)?
x=123
P(p>0.82)? =
(Round to four decimal places as needed)
(c) What is the probability of obtaining
x =111 or fewer individuals with the characteristic? That is, what is
P(p<0.74)? P(p<0.74)? =
(Round to four decimal places as needed.)
Solution
by Bartleby ExpertRecommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman