Answer
$\hat{p} = 0.0625$, E = 0.0115, $x = 70$
Work Step by Step
Lower Bound: 0.051, Upper Bound: 0.074, n =1120
i) Find Error
Width of Interval = Upper Bound - Lower Bound
(0.074 - 0.051) = $\hat{p} + E - (\hat{p} - E)$
0.023 = 2E
E = 0.0115
ii) Find $\hat{p}$
$\hat{p} - E = Lower Bound$
$\hat{p} = Lower Bound + E$
$\hat{p} = 0.051 + 0.0115$
$\hat{p} = 0.0625$
iii) Find $x$
$\hat{p} = \frac{x}{n}$
$x = n\hat{p}$
$x = 1120 \times 0.0625$
$x = 70$
