Simplified Independent Complex Samples T-Test - Comparing Two Proportions

Where $g_1$ and $g_2$ are the two proportions, $m$ and $n$ are their respective sample sizes and $s{e}_1$ and $s{e}_2$ are their respective Standard Errors:

$t=\frac{g_1-g_2}{\sqrt{s{e}_1^2+s{e}_2^2}}$,

where:

$p=2\mathrm{Pr}(t_v\ge |t|)$, and

$v=m+n-1$.