Formula for the Minimum Sample size [tex] n=(\frac{z}{E})^2\hat{p}\hat{q} [/tex]
The least biased estimate for p and q is 1/2.
[tex] z_{\frac{\alpha }{2}}=z_{{0.01}{2}}=2.58 [/tex]
Thus
[tex] n=(\frac{2.58}{0.08})^2*0.5*0.5 [/tex]
[tex] n=260.015 [/tex]
[tex] n\approx260 [/tex]
