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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, 14% 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. 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. C. 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. O D. 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.

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 14% 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. 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. C. 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. O D. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
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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, 14% 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. 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. 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. D. 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. Next
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, 14% 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. 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. 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. D. 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. Next
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