T-Test of a Proportion

Where $g$ is the observed proportion and $e$ is the expected proportion, $n$ is the sample size and $d_{eff}$ is Extra deff:

$t=\frac{g-e}{\sqrt{d_{eff}g(1-g)/n}}$

where $p\approx 2\mathrm{Pr}(t_{n-1}\ge |t|)$ if $g\ne e$ and NaN otherwise,

Where Bessel's correction is applied:

$t=\frac{p-e}{\sqrt{d_{eff}g(1-g)/(n-1)}}$