Question

In a survey of 2283 adults in a recent year, 1366 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 pis (D. (Round to three decimal places as needed.) The 95% confidence interval for the population proportion pis ( I. (Round to three decimal places as needed.) With the given confidence, it can be said that the of adults who say they have made a New Year's resolution is 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. B. The 95% confidence interval is wider. C. The confidence intervals cannot be compared. OD. The confidence intervals are the same width. ОО

Answer 1

9 = 1366 Solution Total number of surveyed adults = n = 2283 Number of adults mode New year s resecution ax So, estimated proportion of success = = 1366 - 6.5983 2983 The 90%. CI for population proportion is Þ t 1 645 where 1.6545 the critical value at 90% CI CI 1 –6.59183) 9983 0.5983 11 0.5983 I 1.643 0.59835 0.016878 (0.598 5983 – 0.016878,0.5983+ 0.016878) (0.5 814, 0.6152) = (0.581 ,0.615) [ Rounded value
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