Question

In a survey of 2009 adults in a recent​ year, 705 made a New​ Year's resolution to eat healthier. Construct​ 90% and​ 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.

1) The​ 90% confidence interval for the population proportion p is (_,_) (Round to three decimal places as needed.)

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

3)  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.

4) 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.

Answer 1