# Simplified Independent Complex Samples T-Test - Comparing Two Proportions

Where ${\displaystyle g_{1}}$ and ${\displaystyle g_{2}}$ are the two proportions, ${\displaystyle m}$ and ${\displaystyle n}$ are their respective sample sizes and ${\displaystyle se_{1}}$ and ${\displaystyle se_{2}}$ are their respective Standard Errors:
${\displaystyle t={\frac {g_{1}-g_{2}}{\sqrt {se_{1}^{2}+se_{2}^{2}}}}}$,
${\displaystyle p=2\Pr(t_{v}\geq |t|)}$, and
${\displaystyle v=m+n-1}$.