Question

In a survey of 1019 ​adults, a polling agency​ asked, "When you​ retire, do you think you will have enough money to live comfortably or not. Of the 1019 ​surveyed, 535 stated that they were worried about having enough money to live comfortably in retirement. Construct a 99​% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement. A. There is 99​% confidence that the true proportion of worried adults is between ? and ?. B. There is a 99​% probability that the true proportion of worried adults is between ? and ?. C. 99​% of the population lies in the interval between ? and ?.

Answer 1

Given that, n = 1019 and x = 535

Using TI-84 calculator we get, 99% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement is,

( 0.4847, 0.5653 )

There is 99​% confidence that the true proportion of worried adults is between 0.4847 and 0.5653