Choose the correct answer below. A. A 95% 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. B. An 80% confidence interval must be wider than a 95% confidence interval because it contains 100% - 80% = 20% of the true population parameters, while the 95% confidence interval only contains 100% – 95% = 5% of the true population parameters. C. A 95% confidence interval must be wider than an 80% confidence interval because it contains 95% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters. D. An 80% confidence interval must be wider than a 95% 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

8.

A magazine provided results from a poll of 2000 adults who were asked to identify their
favorite pie. Among the 2000 respondents, 12% chose chocolate pie, and the margin of
error was given as ±5 percentage points. Given specific sample data, which confidence
interval is wider: the 95% confidence interval or the 80% confidence interval? Why is it
wider?
...
Choose the correct answer below.
A. A 95% 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.
B. An 80% confidence interval must be wider than a 95% confidence interval
because it contains 100% - 80% = 20% of the true population parameters, while
the 95% confidence interval only contains 100% – 95% = 5% of the true
population parameters.
O C. A 95% confidence interval must be wider than an 80% confidence interval
because it contains 95% of the true population parameters, while the 80%
confidence interval only contains 80% of the true population parameters.
D. An 80% confidence interval must be wider than a 95% 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 2000 adults who were asked to identify their favorite pie. Among the 2000 respondents, 12% chose chocolate pie, and the margin of error was given as ±5 percentage points. Given specific sample data, which confidence interval is wider: the 95% confidence interval or the 80% confidence interval? Why is it wider? ... Choose the correct answer below. A. A 95% 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. B. An 80% confidence interval must be wider than a 95% confidence interval because it contains 100% - 80% = 20% of the true population parameters, while the 95% confidence interval only contains 100% – 95% = 5% of the true population parameters. O C. A 95% confidence interval must be wider than an 80% confidence interval because it contains 95% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters. D. An 80% confidence interval must be wider than a 95% confidence interval in order to be more confident that it captures the true value of the population proportion.
Expert Solution
steps

Step by step

Solved in 2 steps

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