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±4 A magazine provided results from a poll of 500 adults who were asked to ident

ID: 3055261 • Letter: #

Question

±4 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 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. An 80% confidence interval must be wider than a 99% confidence interval because it contains 100%-80% contains 100%-99%-1% of the true population parameters 20% of the true population parameters, while the 99% confidence interval only 0 B. An 80% confidence interval must be wider than a 99% confidence interval in order to be more confident that it captures the true value or the population proportion. O c. 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. D.

Explanation / Answer

The correct answer for this would be as shown below: -

D. 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 the population proportion.