Answer
$\hat{p} = 0.225$, E = 0.024, $x$ = 270
Work Step by Step
Lower Bound: 0.201, Upper Bound: 0.249, n =1200
i) Find Error
Width of Interval = Upper Bound - Lower Bound
(0.249 - 0.201) = $\hat{p} + E - (\hat{p} - E)$
0.048 = 2E
E = 0.024
ii) Find $\hat{p}$
$\hat{p} - E = Lower Bound$
$\hat{p} = Lower Bound + E$
$\hat{p} = 0.201 + 0.024$
$\hat{p} = 0.225$
iii) Find $x$
$\hat{p} = \frac{x}{n}$
$x$ = $n\hat{p}$
$x$ = 1200 x 0.225
$x$ = 270
