A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 13% chose chocolatepie, and the margin of error was given as 3 percentage points. Given specific sampledata, which confidence interval iswider: the 90% confidence interval or the 80% confidenceinterval? Why is itwider?

Choose the correct answer below.

A.An 80% confidence interval must be wider than a 90% confidence interval because it contains 100%80%=20% of the true populationparameters, while the 90% confidence interval only contains 100%90%=10% of the true population parameters.

B.A 90% confidence interval must be wider than an 80% confidence interval because it contains 90% of the true populationparameters, while the 80% confidence interval only contains 80% of the true population parameters.

C.A 90% 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 90% confidence interval in order to be more confident that it captures the true value of the population proportion.