Independent Samples Z-Test - Comparing Two Proportions (Un-Pooled)

Where $g_1$ and $g_2$ are the two proportions and $n_1$ and $n_2$ are the sample sizes:

$z=\frac{g_1-g_2}{\sqrt{\frac{g_1(1-g_1)}{n_1}+\frac{g_2(1-g_2)}{n_2}}}$

where $p=2(1-\mathrm{\Phi }(|z|))$.