In a survey of 624males ages? 18-64, 397 say they have gone to the dentist in thepast year.
Construct? 90% and?95% confidence intervals for the population proportion. Interpretthe results and compare the widths of the confidence intervals. If?convenient, use technology to construct the confidenceintervals.
(a) The? 90%confidence interval for the population proportion p is(___,___)
(Round to three decimal places as? needed.)
(b) The? 95%confidence interval for the population proportion p is(____,____)
?(Round to three decimal places as? needed.)
(c) Interpret yourresults of both confidence intervals:
1. With the given?confidence, it can be said that the population proportion of malesages? 18-64 who say they have gone to the dentist in the past yearis between the endpoints of the given confidence interval.
2. With the given?confidence, it can be said that the sample proportion of malesages? 18-64 who say they have gone to the dentist in the past yearis between the endpoints of the given confidence interval.
3. With the given?confidence, it can be said that the population proportion of malesages? 18-64 who say they have gone to the dentist in the past yearis not between the endpoints of the given confidence interval.
(d) Which interval is?wider?
The? 90% confidenceinterval
or
The? 95% confidenceinterval
