Z-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:

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

where $p\approx 2(1-\mathrm{\Phi }(|z|)=$ if $g\ne e$ and NaN otherwise.

An alternative version of this test uses Bessel's correction:

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