Question:

A magazine provided results from a poll of 2000 adults who

Last updated: 7/10/2022

A magazine provided results from a poll of 2000 adults who

A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 respondents, 11% 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. 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. 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. C. 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. 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.