Complex Samples t-Test of a Mean

Where $\overline{x}$ is the observed mean, $e$ is the expected value, $s_{\overline{x}}$ is the estimated Standard Error of the observed mean and $n$ is the sample size:

$t=\frac{\overline{x}-e}{s_{\overline{x}}}$

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