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A magazine provided results from a poll of 100 adults who were asked to identify their favorite pie. Among the 1000 respondents, 14% chose chocolate
A magazine provided results from a poll of 100 adults who were asked to identify their favorite pie. Among the 1000 respondents, 14% chose chocolate pie, and the margin of error was given as + or - 5 percentage points. Given specific sample data, which confidence interval is wider: the 90% confidence interval or the 80% confidence interval? Why is it wider? A. A 90% confidence interval must be wider than an 80% confidence level because it contains 90% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters. B. An 80% confidence interval must be wider than a 90% confidence interval because it contains 100%-80%=20% of the true population parameters, while the 90% confidence interval only contains 100%-90%=10% of the true population parameters. C. 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. D. An 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
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