Independent Complex Samples Z-Test - Comparing Two Proportions

Where $g_1$ and $g_2$ are the two proportions and ${\sigma }_{g_1}$ and ${\sigma }_{g_2}$ are their standard errors:

$z=\frac{g_1-g_2}{\sqrt{{\sigma }_{g_1}^2+{\sigma }_{g_1}^2}}$,

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