Answer
1068
Work Step by Step
We are given $E=0.03, c=0.95$ so $Z_{\alpha/2}=1.96$
without knowing the proportion, we use $\hat p=\hat q=0.5$
The number of sample required $n=0.5^2\times(\frac{1.96}{0.03})^2\approx1068$ (round upwards here)
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