Choose the correct answer below.

A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 11% chose chocolatepie, and the margin of error was given as 3 percentage points. Given specific sampledata, which confidence interval iswider: the 95% confidence interval or the 80% confidenceinterval? Why is itwider?

A.

A 95% confidence interval must be wider than an 80% confidence interval because it contains 95% of the true populationparameters, while the 80% confidence interval only contains 80% of the true population parameters.

B.

An 80% confidence interval must be wider than a 95% confidence interval because it contains 100%80%=20% of the true populationparameters, while the 95% confidence interval only contains 100%95%=5% of the true population parameters.

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.

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.