A third-party survey was conducted on 200 residents in a town south of Phoenix, Arizona about the planned restoration of an old historic building. 114 residents agree to the plan even if this might require the residents to do fund raising activities to augment the cost of restoration. Find a two-sided 95% confidence interval for the proportion of residents favoring the restoration. What interpretation can we infer about the width of the confidence interval, sample size, population proportion and standard error p(1- p)/n of the point estimator p. O a. 0.5014

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

PLEASE PROVIDE THE ANSWER

CI for a Population Proportion
A third-party survey was conducted on 200 residents in a town south of Phoenix, Arizona about the planned restoration of an old historic building. 114 residents
agree to the plan even if this might require the residents to do fund raising activities to augment the cost of restoration. Find a two-sided 95% confidence
interval for the proportion of residents favoring the restoration. What interpretation can we infer about the width of the confidence interval, sample size,
population proportion and standard error p(1 - p)/n of the point estimator 6.
O a. 0.5014 < p < 0.6386. There appears to be no abnormality in the width of confidence interval.
Although the sample size (n = 200) does not appear to be small, the value of p somehow
represents the class of interest, which leads to a small standard error for p.
Ob.
= 200)
0.5014 <p < 0.6386. This is a wide confidence interval. Although the sample size (n =
does not appear to be small, the value of p doesn't quite represent the class of interest, which
leads to a large standard error for p.
O. 0.4355 <p<0.7045. This is a narrow confidence interval. Although the sample size (n = 200) does not appear to be small, the value of ộ is fairly small, which leads to
a large standard error for p
O d.0.4355 <p<0.7045. This is a narrow confidence interval. Although the sample size (n = 200) does not appear to be small, the value of p is fairly small, which leads to
a large standard error for P
Transcribed Image Text:CI for a Population Proportion A third-party survey was conducted on 200 residents in a town south of Phoenix, Arizona about the planned restoration of an old historic building. 114 residents agree to the plan even if this might require the residents to do fund raising activities to augment the cost of restoration. Find a two-sided 95% confidence interval for the proportion of residents favoring the restoration. What interpretation can we infer about the width of the confidence interval, sample size, population proportion and standard error p(1 - p)/n of the point estimator 6. O a. 0.5014 < p < 0.6386. There appears to be no abnormality in the width of confidence interval. Although the sample size (n = 200) does not appear to be small, the value of p somehow represents the class of interest, which leads to a small standard error for p. Ob. = 200) 0.5014 <p < 0.6386. This is a wide confidence interval. Although the sample size (n = does not appear to be small, the value of p doesn't quite represent the class of interest, which leads to a large standard error for p. O. 0.4355 <p<0.7045. This is a narrow confidence interval. Although the sample size (n = 200) does not appear to be small, the value of ộ is fairly small, which leads to a large standard error for p O d.0.4355 <p<0.7045. This is a narrow confidence interval. Although the sample size (n = 200) does not appear to be small, the value of p is fairly small, which leads to a large standard error for P
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman