T-Test of Two Mutually Exclusive Proportions

Where $g_1$ and $g_2$ are the two proportions:

$t=\frac{g_1-g_2}{\sqrt{d_{eff}(\frac{g_1+g_2-(g_1-g_2{)}^2)}{n-1})}}$

where

$p\approx 2\mathrm{Pr}(t_{n-1}\ge |t|)$,

$b$ is 1 if Bessel's correction for Means is selected in Statistical Assumptions and 0 otherwise,

$d_{eff}$ is Extra deff, and

$n$ is the unweighted sample size.