Independent Complex Samples Z-Test - Comparing Two Proportions
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Where [math]\displaystyle{ g_1 }[/math] and [math]\displaystyle{ g_2 }[/math] are the two proportions and [math]\displaystyle{ \sigma_{g_1} }[/math] and [math]\displaystyle{ \sigma_{g_2} }[/math] are their standard errors:
[math]\displaystyle{ z=\frac{g_1-g_2}{\sqrt{\sigma^2_{g_1} + \sigma^2_{g_1}}} }[/math],
where [math]\displaystyle{ p = 2(1-\Phi(|z|)) }[/math].