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. 0.4355
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. 0.4355
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
Related questions
Question
![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.
a. 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 6 is fairly small, which leads to
a large standard error for p
Ob.
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 ôp.
200)
C. 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
d.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3bff435-eb0f-43cb-ba6a-05dbaec5981d%2F007258dd-b7c3-4014-a2ce-4713d58dc87c%2F3dloiy_processed.png&w=3840&q=75)
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.
a. 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 6 is fairly small, which leads to
a large standard error for p
Ob.
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 ôp.
200)
C. 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
d.
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.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)