Answer
$\hat{p} = 0.862$, E = 0.009, $x = 9251$
Work Step by Step
Lower Bound: 0.853, Upper Bound: 0.871, n =10,732
i) Find Error
Width of Interval = Upper Bound - Lower Bound
(0.871 - 0.853) = $\hat{p} + E - (\hat{p} - E)$
0.018 = 2E
E = 0.009
ii) Find $\hat{p}$
$\hat{p} - E = Lower Bound$
$\hat{p} = Lower Bound + E$
$\hat{p} = 0.853 + 0.009$
$\hat{p} = 0.862$
iii) Find $x$
$\hat{p} = \frac{x}{n}$
$x = n\hat{p}$
$x = 10,732 \times 0.862$
$x = 9251$
