A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 12% chose chocolate pie, and the margin of error was given as ± 4 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. O A. 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 B. 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. 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. O 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
icon
Related questions
Question
Question Help
A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 12% chose chocolate pie, and the margin of error was given as ±4 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.
O A. 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.
B. 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.
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.
O 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:Question Help A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 12% chose chocolate pie, and the margin of error was given as ±4 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. O A. 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. B. 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. 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. O 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
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning