Complex Samples Z-Test of a Mean

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

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

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