Suppose a simple random sample of size n = 125 is obtained from a population whose size is N= 30,000 and whose population proportion with a specified characteristic is p=0.2. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. OA. Not normal because n ≤0.05N and np(1-p) ≥ 10. OB. Approximately normal because n ≤ 0.05N and np(1-p) ≥ 10. OC. Approximately normal because n ≤0.05N and np(1-p) < 10. OD. Not normal because n ≤0.05N and np(1-p) < 10. Determine the mean of the sampling distribution of p. (Round to one decimal place as needed.) HA= p Determine the standard deviation of the sampling distribution of p. (Round to six decimal places as needed.) GA D (b) What is the probability of obtaining x= 30 or more individuals with the characteristic? That is, what is P(p≥ 0.24)? P(p20.24)= (Round to four decimal places as needed.) (c) What is the probability of obtaining x= 15 or fewer individuals with the characteristic? That is, what is P(p ≤0.12)? P(p ≤0.12)= (Round to four decimal places as needed.) B
Suppose a simple random sample of size n = 125 is obtained from a population whose size is N= 30,000 and whose population proportion with a specified characteristic is p=0.2. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. OA. Not normal because n ≤0.05N and np(1-p) ≥ 10. OB. Approximately normal because n ≤ 0.05N and np(1-p) ≥ 10. OC. Approximately normal because n ≤0.05N and np(1-p) < 10. OD. Not normal because n ≤0.05N and np(1-p) < 10. Determine the mean of the sampling distribution of p. (Round to one decimal place as needed.) HA= p Determine the standard deviation of the sampling distribution of p. (Round to six decimal places as needed.) GA D (b) What is the probability of obtaining x= 30 or more individuals with the characteristic? That is, what is P(p≥ 0.24)? P(p20.24)= (Round to four decimal places as needed.) (c) What is the probability of obtaining x= 15 or fewer individuals with the characteristic? That is, what is P(p ≤0.12)? P(p ≤0.12)= (Round to four decimal places as needed.) B
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
Transcribed Image Text:Suppose a simple random sample of size n = 125 is obtained from a population whose size is N = 30,000 and whose population proportion with a specified characteristic is p = 0.2.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(a) Describe the sampling distribution of p.
Choose the phrase that best describes the shape of the sampling distribution below.
OA. Not normal because n ≤0.05N and np(1-p)≥ 10.
OB. Approximately normal because n ≤0.05N and np(1-p) ≥ 10.
OC. Approximately normal because n ≤ 0.05N and np(1-p) <10.
OD. Not normal because n ≤0.05N and np(1-p) < 10.
Determine the mean of the sampling distribution of p.
(Round to one decimal place as needed.)
HA=
p
Determine the standard deviation of the sampling distribution of p.
= (Round to six decimal places as needed.)
Р
C...
(b) What is the probability of obtaining x = 30 or more individuals with the characteristic? That is, what is P(p ≥ 0.24)?
P(p≥ 0.24)=
(Round to four decimal places as needed.)
probability of obtaining x= 15 or fewer individuals with the characteristic? That is, what is P(p ≤0.12)?
(Round to four decimal places as needed.)
(c) What is the
P(p ≤ 0.12)=
Time Remaini
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Information provided in the problem is
VIEWStep 2: a) The sampling distribution of p̂
VIEWStep 3: calculation of the mean of the sampling distribution of p̂
VIEWStep 4: Calculation of the standard deviation of the sampling distribution of p̂
VIEWStep 5: b) Calculation of the probability
VIEWStep 6: c) Calculation of the probability
VIEWSolution
VIEW
Step by step
Solved in 7 steps with 29 images
Recommended 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