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StatisticsInferential Statistics

MyLab Statistics Answer Key: 90% and 95% Confidence Intervals

For 1,302 successes in 2,173 observations, the 90% confidence interval is (0.582, 0.616) and the 95% interval is (0.579, 0.620); higher confidence produces the wider interval.

Question

In a survey of 2,173 adults in a recent year, 1,302 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. Round to three decimal places as needed.

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Evidence boundary

This answer uses the normal-approximation one-population-proportion interval expected by the locked 6.3.11-T prompt. The counts satisfy the large-count condition, but the prompt does not describe its sampling method; generalization to all adults therefore depends on a random, independent, representative sample.