In a survey of 2274 adults in a recent year, 1368 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Statistics Question 12

In a survey of 2274 adults in a recent year, 1368 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
(Round to three decimal places as needed.)
The 95% confidence interval for the population proportion p is
(Round to three decimal places as needed.)
With the given confidence, it can be said that the
resolution is
of adults who say they have made a New Year's
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.
Transcribed Image Text:In a survey of 2274 adults in a recent year, 1368 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 (Round to three decimal places as needed.) The 95% confidence interval for the population proportion p is (Round to three decimal places as needed.) With the given confidence, it can be said that the resolution is of adults who say they have made a New Year's 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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