# T-Test of Two Mutually Exclusive Proportions

Where ${\displaystyle g_{1}}$ and ${\displaystyle g_{2}}$ are the two proportions:
${\displaystyle t={\frac {g_{1}-g_{2}}{\sqrt {d_{eff}({\frac {g_{1}+g_{2}-(g_{1}-g_{2})^{2})}{n-1}})}}}}$
${\displaystyle p\approx 2\Pr(t_{n-1}\geq |t|)}$,
${\displaystyle b}$ is 1 if Bessel's correction for Means is selected in Statistical Assumptions and 0 otherwise,
${\displaystyle d_{eff}}$ is Extra deff, and
${\displaystyle n}$ is the unweighted sample size.