A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 13% chose chocolate pie, and the margin of error was given as 15 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 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. OB. 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. 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. 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.

MATLAB: An Introduction with Applications
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A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 13% 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.
OA. 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.
OB. 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. 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. 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:A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 13% 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. OA. 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. OB. 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. 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. 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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