A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 14% chose chocolate pie, and the margin of error was given as +5 percenta 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 in order to be more confident that it captures the true value of the population proportion. 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 because population parameters. contains 99% of the true population parameters, while the 80% confidence interval only contains 80% of the true O D. An 80% confidence interval must be wider than a 99% confidence interval in order to be more confident that it captures the true value of the population proportion.

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A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 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 99% confidence interval or the 80% confidence interval? Why is it wider?
Choose the correct answer below.
A. 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.
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.
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. An 80% confidence interval must be wider than a 99% confidence interval in order to be more confident that it captures the true value of the population proportion.
Transcribed Image Text:A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 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 99% confidence interval or the 80% confidence interval? Why is it wider? Choose the correct answer below. A. 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. 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. 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. An 80% confidence interval must be wider than a 99% confidence interval in order to be more confident that it captures the true value of the population proportion.
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