(a) Consider the distribution of all Minnesotans' preference for green bean hot dish versus any other kind of hot dish. Explain why the standard deviation of this distribution is bounded by 1/2. (b) Find a 95% confidence interval for the proportion of all Minnesotans who prefer green bean hotdish. (c) Interpret your 95% confidence interval. (d) Interpret the 95% confidence level.
(a) Consider the distribution of all Minnesotans' preference for green bean hot dish versus any other kind of hot dish. Explain why the standard deviation of this distribution is bounded by 1/2. (b) Find a 95% confidence interval for the proportion of all Minnesotans who prefer green bean hotdish. (c) Interpret your 95% confidence interval. (d) Interpret the 95% confidence level.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
Related questions
Question
Practice Pack
![4. Do a majority of Minnesotans prefer green bean hotdish? A recent poll of 400 ran-
domly selected Minnesotans hopes to answer this very important question. In the poll
190/400 = 47.5% of respondents answered that green bean hotdish is their favorite
hotdish, while the remaining Minnesotans in the poll preferred a different hotdish.
(a) Consider the distribution of all Minnesotans' preference for green bean hot dish
versus any other kind of hot dish. Explain why the standard deviation of this
distribution is bounded by 1/2.
(b) Find a 95% confidence interval for the proportion of all Minnesotans who prefer
green bean hotdish.
(c) Interpret your 95% confidence interval.
(d) Interpret the 95% confidence level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fcd8e25-0d5a-4130-8ffb-6827aeee7dc4%2Fbc450d41-3ae2-4a8a-b40a-e9305cc8c53d%2Fkwnmuxh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Do a majority of Minnesotans prefer green bean hotdish? A recent poll of 400 ran-
domly selected Minnesotans hopes to answer this very important question. In the poll
190/400 = 47.5% of respondents answered that green bean hotdish is their favorite
hotdish, while the remaining Minnesotans in the poll preferred a different hotdish.
(a) Consider the distribution of all Minnesotans' preference for green bean hot dish
versus any other kind of hot dish. Explain why the standard deviation of this
distribution is bounded by 1/2.
(b) Find a 95% confidence interval for the proportion of all Minnesotans who prefer
green bean hotdish.
(c) Interpret your 95% confidence interval.
(d) Interpret the 95% confidence level.
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.
Includes step-by-step video
Learn your way
Includes step-by-step video
Step by step
Solved in 2 steps
![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
![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 (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
![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
![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 (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
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)