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 ±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. 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. 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. C. 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. O 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.

A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=935 and x=561 who said "yes." Use a 95% confidence level.

K A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 respondents, 12% 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. B OA. 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. OB. 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…

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 ±3 percentage points. Given specific sample data, which confidence interval is wider: the 99% confidence interval or the 80% confidence interval? Why is it wider? Choose the correct answer below. O A. A 99% confidence interval must be wider than an 80% confidence interval because it contains 99% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters. O B. An 80% confidence interval must be wider than a 99% confidence interval because it contains 100% - 80% = 20% of the true population parameters, while the 99% confidence interval only contains 100% - 99% = 1% of the true population parameters. OC. A 99% confidence interval must be wider than an 80% confidence interval in order to be more confident that it captures the true value of…