Complex Samples Z-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:

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

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