Complex Samples t-Test of a Proportion

Where $g$ is the observed proportion, $e$ is the expected proportion, $s_p$ is estimated Standard Error of the observed proportion and $n$ is the sample size,

$n$ is the sample size:

$t=\frac{g-e}{s_p}$

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