A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 14% chose chocolate pie, and the margin of error was given as ±4 percentage points. Given specific sample data, which confidence interval is wider: the 90% confidence interval or the 80% confidence interval? Why is it wider? Choose the correct answer below. A. A 90% confidence interval must be wider than an 80% confidence interval because it contains 90% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters. B. An 80% confidence interval must be wider than a 90% confidence interval because it contains 100% – 80% = 20% of the true population parameters, while the 90% confidence interval only contains 100% - 90% = 10% of the true population parameters. C. An 80% confidence interval must be wider than a 90% confidence interval in order to be more confident that it captures the true value of the population proportion. D. A 90% confidence interval must be wider than an 80% confidence interval in order to be more confident that it captures the true value of the population proportion.

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

7.

A magazine provided results from a poll of 1500 adults who were asked to identify their favorite
pie. Among the 1500 respondents, 14% chose chocolate pie, and the margin of error was
given as ±4 percentage points. Given specific sample data, which confidence interval is wider:
the 90% confidence interval or the 80% confidence interval? Why is it wider?
...
Choose the correct answer below.
O A. A 90% confidence interval must be wider than an 80% confidence interval because it
contains 90% of the true population parameters, while the 80% confidence interval
only contains 80% of the true population parameters.
B. An 80% confidence interval must be wider than a 90% confidence interval because
contains 100% – 80% = 20% of the true population parameters, while the 90%
confidence interval only contains 100% - 90% = 10% of the true population
parameters.
O C. An 80% confidence interval must be wider than a 90% confidence interval in order to
be more confident that it captures the true value of the population proportion.
D. A 90% confidence interval must be wider than an 80% confidence interval in order to
be more confident that it captures the true value of the population proportion.
Transcribed Image Text:A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 14% chose chocolate pie, and the margin of error was given as ±4 percentage points. Given specific sample data, which confidence interval is wider: the 90% confidence interval or the 80% confidence interval? Why is it wider? ... Choose the correct answer below. O A. A 90% confidence interval must be wider than an 80% confidence interval because it contains 90% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters. B. An 80% confidence interval must be wider than a 90% confidence interval because contains 100% – 80% = 20% of the true population parameters, while the 90% confidence interval only contains 100% - 90% = 10% of the true population parameters. O C. An 80% confidence interval must be wider than a 90% confidence interval in order to be more confident that it captures the true value of the population proportion. D. A 90% confidence interval must be wider than an 80% confidence interval in order to be more confident that it captures the true value of the population proportion.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 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