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A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 11% chose chocolate pie, and the margin of error was given as ±5 percentage points. Given specific sample data, which confidence interval is wider: the 99% confidence interval or the 80% confidence interval? Why is it wider?

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 11% chose chocolate pie, and the margin of error was given as ±5 percentage points. Given specific sample data, which confidence interval is wider: the 99% confidence interval or the 80% confidence interval? Why is it wider?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 11% chose chocolate pie, and the margin of error was given as ±5 percentage points. Given specific sample data, which confidence interval is wider: the 99% 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 99% confidence interval because it contains 100% - 80% = 20% of the true population parameters, while the 99% confidence interval only contains 100% -99% = 1% of the true population parameters. B. An 80% confidence interval must be wider than a 99% confidence interval in order to be more confident that it captures the true value of the population proportion. O C. A 99% confidence interval must be wider than an 80% confidence interval because it contains 99% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters. OD. A 99% 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 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 11% chose chocolate pie, and the margin of error was given as ±5 percentage points. Given specific sample data, which confidence interval is wider: the 99% 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 99% confidence interval because it contains 100% - 80% = 20% of the true population parameters, while the 99% confidence interval only contains 100% -99% = 1% of the true population parameters. B. An 80% confidence interval must be wider than a 99% confidence interval in order to be more confident that it captures the true value of the population proportion. O C. A 99% confidence interval must be wider than an 80% confidence interval because it contains 99% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters. OD. A 99% 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.
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