A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 12% chose chocolate pie, and the margin of error was given as +3 percentage points. Given specific sample data, which confidence interval is wider: the 90% 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 90% confidence interval in order to be more confident that it captures the true value of the population proportion. O B. A90% 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 C. A90% confidence interval must be wider than an 80% confidence interval because it contains 90% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters. O D. 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.

A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 12% chose chocolate pie, and the margin of error was given as +3 percentage points. Given specific sample data, which confidence interval is wider: the 90% 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 90% confidence interval in order to be more confident that it captures the true value of the population proportion. O B. A90% 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 C. A90% confidence interval must be wider than an 80% confidence interval because it contains 90% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters. O D. 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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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