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**

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