Close Ratio II

You are looking to measure the probability $0 < p < 1$ that a coin appears heads when flipped. Note that $p$ is unknown to you when performing these flips, but it is fixed. To do this, you flip this coin $n$ times and measure the sample proportion. Call this $\overline{X_n}$. Using the Central Limit Theorem, what is the minimum number of rolls that you need to perform to ensure that $\mathbb{P}\left( |\overline{X_n} - p| < \varepsilon \right) \geq q$? when $\varepsilon = 0.01$ and $q = 3/4$? Round to the nearest person.