In a survey of 2231 adults in a recent year, 1471 say they have made a New Year's resolution. Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. The 90% confidence interval for the population proportion p is ( 0.643.0.676 ) (Round to three decimal places as needed.) The 95% confidence interval for the population proportion p is ( 0.640 ,0.679 ) (Round to three decimal places as needed.) With the given confidence, it can be said that the population proportion of adults who say they have made a New Year's resolution is between the endpoints of the given confidence interval. Compare the widths of the confidence intervals. Choose the correct answer below. O A. The 90% confidence interval is wider. O B. The 95% confidence interval is wider. O C. The confidence intervals are the same width. O D. The confidence intervals cannot be compared.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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In a survey of 2231 adults in a recent year, 1471 say they have made a New Year's resolution.

Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.

The 90% confidence interval for the population proportion p is \( (0.643, 0.676) \).
(Round to three decimal places as needed.)

The 95% confidence interval for the population proportion p is \( (0.640, 0.679) \).
(Round to three decimal places as needed.)

With the given confidence, it can be said that the population proportion of adults who say they have made a New Year's resolution is between the endpoints of the given confidence interval.

Compare the widths of the confidence intervals. Choose the correct answer below.

- A. The 90% confidence interval is wider.
- B. The 95% confidence interval is wider.
- C. The confidence intervals are the same width.
- D. The confidence intervals cannot be compared.

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Transcribed Image Text:In a survey of 2231 adults in a recent year, 1471 say they have made a New Year's resolution. Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. The 90% confidence interval for the population proportion p is \( (0.643, 0.676) \). (Round to three decimal places as needed.) The 95% confidence interval for the population proportion p is \( (0.640, 0.679) \). (Round to three decimal places as needed.) With the given confidence, it can be said that the population proportion of adults who say they have made a New Year's resolution is between the endpoints of the given confidence interval. Compare the widths of the confidence intervals. Choose the correct answer below. - A. The 90% confidence interval is wider. - B. The 95% confidence interval is wider. - C. The confidence intervals are the same width. - D. The confidence intervals cannot be compared. [Options for further instructions:] - Help Me Solve This - View an Example - Get More Help [Clear All] [Final Check]
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