When they send out their fundraising letter, a philanthropic organization typically gets a return from about 5% of the people on their mailing list. To see what the response rate might be for future appeals, they did a simulation using samples of size 20, 50, 100, and 200. For each sample size they simulated 1000 mailings with success rate p=0.05 and constructed the histogram of the 1000 sample proportions, shown in the accompanying link. Explain what these histograms say about the sampling distribution model for sample proportions. Be sure to talk about shape, center. and spread. Click the icon to view histograms of the simulations. Discuss how the shape changes with sample size. OA. The distributions for small samples are left-skewed but are more symmetric as n increases. OB. The distributions for small samples are right-skewed and get more left-skewed as n increases. OC. The distributions for small samples are right-skewed but are more symmetric as n increases. OD. The distributions for small samples are left-skewed and get more right-skewed as n increases. O E. The shape does not change with sample size. Histograms of the Simulations Samples of Size 20 400- Samples of Size 5 300- X
When they send out their fundraising letter, a philanthropic organization typically gets a return from about 5% of the people on their mailing list. To see what the response rate might be for future appeals, they did a simulation using samples of size 20, 50, 100, and 200. For each sample size they simulated 1000 mailings with success rate p=0.05 and constructed the histogram of the 1000 sample proportions, shown in the accompanying link. Explain what these histograms say about the sampling distribution model for sample proportions. Be sure to talk about shape, center. and spread. Click the icon to view histograms of the simulations. Discuss how the shape changes with sample size. OA. The distributions for small samples are left-skewed but are more symmetric as n increases. OB. The distributions for small samples are right-skewed and get more left-skewed as n increases. OC. The distributions for small samples are right-skewed but are more symmetric as n increases. OD. The distributions for small samples are left-skewed and get more right-skewed as n increases. O E. The shape does not change with sample size. Histograms of the Simulations Samples of Size 20 400- Samples of Size 5 300- X
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
Solve all this question......you will not solve all questions then I will give you down?? upvote......
![When they send out their fundraising letter, a philanthropic organization typically gets a return from about 5% of the people on their mailing list. To see what the response rate might be for future appeals, they did a simulation using samples of size 20, 50, 100, and 200. For each sample size
they simulated 1000 mailings with success rate p = 0.05 and constructed the histogram of the 1000 sample proportions, shown in the accompanying link. Explain what these histograms say about the sampling distribution model for sample proportions. Be sure to talk about shape, center.
and spread.
Click the icon to view histograms of the simulations.
Discuss how the shape changes with sample size.
OA.
A. The distributions for small samples are left-skewed but are more symmetric as n increases.
OB. The distributions for small samples are right-skewed and get more left-skewed as n increases.
OC. The distributions for small samples are right-skewed but are more symmetric as n increases.
O D.
D. The distributions for small samples are left-skewed and get more right-skewed as n increases.
O E.
E. The shape does not change with sample size.
Histograms of the Simulations
Number of San
Samples of Size 20
400-
Samples of Size
100
200
0.25
Sample Proportions
0.14
Sample Proportions
Q
Q
L
Number
Number of Samples
Samples of Size 5
300-
Samples of Size
200
150-
Sample Proporti
0-
Sample Proporti
- X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c8ea4d2-980d-412c-bfd7-765a3742c059%2F66be0763-1561-4301-877e-8339395b2519%2F41r1096_processed.png&w=3840&q=75)
Transcribed Image Text:When they send out their fundraising letter, a philanthropic organization typically gets a return from about 5% of the people on their mailing list. To see what the response rate might be for future appeals, they did a simulation using samples of size 20, 50, 100, and 200. For each sample size
they simulated 1000 mailings with success rate p = 0.05 and constructed the histogram of the 1000 sample proportions, shown in the accompanying link. Explain what these histograms say about the sampling distribution model for sample proportions. Be sure to talk about shape, center.
and spread.
Click the icon to view histograms of the simulations.
Discuss how the shape changes with sample size.
OA.
A. The distributions for small samples are left-skewed but are more symmetric as n increases.
OB. The distributions for small samples are right-skewed and get more left-skewed as n increases.
OC. The distributions for small samples are right-skewed but are more symmetric as n increases.
O D.
D. The distributions for small samples are left-skewed and get more right-skewed as n increases.
O E.
E. The shape does not change with sample size.
Histograms of the Simulations
Number of San
Samples of Size 20
400-
Samples of Size
100
200
0.25
Sample Proportions
0.14
Sample Proportions
Q
Q
L
Number
Number of Samples
Samples of Size 5
300-
Samples of Size
200
150-
Sample Proporti
0-
Sample Proporti
- X
![Discuss how the shape changes with sample size.
OA. The distributions for small samples are left-skewed and get more right-skewed as n increases.
OB. The distributions for small samples are left-skewed but are more symmetric as n increases.
OC. The distributions for small samples are right-skewed and get more left-skewed as n increases.
OD. The distributions for small samples are right-skewed but are more symmetric as n increases.
OE. The shape does not change with sample size.
Discuss how the center changes with sample size.
OA. The center approaches the population proportion of 0.05 as n increases.
OB. The center approaches the population proportion of 0.05 as n decreases.
OC. The center varies seemingly independent of sample size.
OD. The center does not change with sample size; all the histograms are centered near 0.05.
Discuss how the variability changes with sample size.
OA. As n gets smaller, the histograms approach the Normal shape, and the variability in the sample proportions decreases.
OB. As n gets larger, the histograms approach the Normal shape, and the variability in the sample proportions increases
OC. As n gets smaller, the histograms approach the Normal shape, and the variability in the sample proportions increases.
OD. As n gets larger, the histograms approach the Normal shape, and the variability in the sample proportions decreases](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c8ea4d2-980d-412c-bfd7-765a3742c059%2F66be0763-1561-4301-877e-8339395b2519%2Fp4wwqe_processed.png&w=3840&q=75)
Transcribed Image Text:Discuss how the shape changes with sample size.
OA. The distributions for small samples are left-skewed and get more right-skewed as n increases.
OB. The distributions for small samples are left-skewed but are more symmetric as n increases.
OC. The distributions for small samples are right-skewed and get more left-skewed as n increases.
OD. The distributions for small samples are right-skewed but are more symmetric as n increases.
OE. The shape does not change with sample size.
Discuss how the center changes with sample size.
OA. The center approaches the population proportion of 0.05 as n increases.
OB. The center approaches the population proportion of 0.05 as n decreases.
OC. The center varies seemingly independent of sample size.
OD. The center does not change with sample size; all the histograms are centered near 0.05.
Discuss how the variability changes with sample size.
OA. As n gets smaller, the histograms approach the Normal shape, and the variability in the sample proportions decreases.
OB. As n gets larger, the histograms approach the Normal shape, and the variability in the sample proportions increases
OC. As n gets smaller, the histograms approach the Normal shape, and the variability in the sample proportions increases.
OD. As n gets larger, the histograms approach the Normal shape, and the variability in the sample proportions decreases
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.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![Principles of Economics (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305585126/9781305585126_smallCoverImage.gif)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
![Managerial Economics: A Problem Solving Approach](https://www.bartleby.com/isbn_cover_images/9781337106665/9781337106665_smallCoverImage.gif)
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
![Managerial Economics & Business Strategy (Mcgraw-…](https://www.bartleby.com/isbn_cover_images/9781259290619/9781259290619_smallCoverImage.gif)
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education