Question

C ha survey of 10 w a pongecake. When you you nk you will have enough money to live comfortably or not of the 1015 surveyed 534 stated that they were worried about having enough money to live comfortably in bere to view the standard ma rbution table 1 Dick here to view the d o maldestrution 2 Cik bero hoc e lote te cical values of the distribution Select the correct choice below and in the answer s to complete your choice (Use ascending order Round to three decimal places as needed.) OA There is a 0% probability that the true proportion of worried adults is between and On There is 90% o nce that the true proportion of worried adults between and OG 90% of the population is in the interval between and

Answer 1

Sample proportion $\hat{p}$ = 534 / 1015 = 0.526

90% confidence interval for p is

$\hat{p}$ - Z$\alpha$/2 sqrt [ $\hat{p}$ ( 1 - $\hat{p}$ ) / n ] < p < $\hat{p}$ + Z$\alpha$/2 sqrt [ $\hat{p}$ ( 1 - $\hat{p}$ ) / n ]

0.526 - 1.645 * sqrt [ 0.526 ( 1 - 0.526) / 1015] < p < 0.526 + 1.645 * sqrt [ 0.526 ( 1 - 0.526) / 1015]

0.500 < p < 0.552

There is 90% confidence that the true proportion of worried adults is between 0.500 and 0.552