A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 respondents, 14% 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. 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 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. OC. 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 D. An 80% confidence interval must be wider than a 95% confidence interval in order to be more confident that captures the true value of the population proportion.

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A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 respondents, 14% 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. 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.
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 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.
%3D
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 1000 adults who were asked to identify their favorite pie. Among the 1000 respondents, 14% 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. 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. 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 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. %3D 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.
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