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 90% confidence interval or the 80% confidence interval? Why is it wider? Choose the correct answer below. C 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. OB. 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. OC. 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 O D. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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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 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.
O B. 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.
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.
O D. 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.
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 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. O B. 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. 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. O D. 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.
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