Answer
E = 0.014
$\hat{p} = 0.919$
Work Step by Step
Lower Bound: 0.905, Upper Bound: 0.933,
i) Find Error
Width of Interval = Upper Bound - Lower Bound
(0.933 - 0.905) = $\hat{p} + E - (\hat{p} - E)$
0.028 = 2E
E = 0.014
ii) Find $\hat{p}$
$\hat{p} - E = Lower Bound$
$\hat{p} = Lower Bound + E$
$\hat{p} = 0.905 + 0.014$
$\hat{p} = 0.919$