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 ±3 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. *** OA. 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. 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. OC. 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 OD. 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.
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 ±3 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. *** OA. 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. 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. OC. 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 OD. 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I believe it is C or D but dont know which one.
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 ±3 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 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.
OC. 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
AU
OD. 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.
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