One Sample Score Test of a Proportion
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Where [math]\displaystyle{ g }[/math] is the observed proportion, [math]\displaystyle{ e }[/math] is the expected proportion, [math]\displaystyle{ n }[/math] is the effective sample size, and [math]\displaystyle{ d_{eff} }[/math] is Extra deff:
[math]\displaystyle{ z = \frac{g - e}{\sqrt{d_{eff}e(1-e)/n}} }[/math]
where [math]\displaystyle{ p \approx 2(1-\Phi(|z|)) }[/math] if [math]\displaystyle{ |g - e| \ge 0.0001 }[/math] and NaN otherwise.