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 $se_{1}$ and $se_{2}$ are their respective Standard Errors:

$t={\frac {g_{1}-g_{2}}{\sqrt {se_{1}^{2}+se_{2}^{2}}}}$,

where:

$p=2\Pr(t_{v}\geq |t|)$, and

$v=m+n-1$.