Question

In a survey of 2542 adults in a recent​ year, 1430 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.

Pls help.

Answer 1

For the 90% confidence interval:

Confidence Interval (90%): 0.5627 ± 0.0257

This means we can be 90% confident that the true proportion of adults who made a New Year's resolution is between approximately 53.02% and 58.72%.

For the 95% confidence interval:

Confidence Interval (95%): 0.5627 ± 0.0302

This means we can be 95% confident that the true proportion of adults who made a New Year's resolution is between approximately 52.98% and 58.27%.

Explanation: