Independent Samples Z-Test - Comparing Two Proportions (Un-Pooled)
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Where [math]\displaystyle{ g_1 }[/math] and [math]\displaystyle{ g_2 }[/math] are the two proportions and [math]\displaystyle{ n_1 }[/math] and [math]\displaystyle{ n_2 }[/math] are the sample sizes:
[math]\displaystyle{ z=\frac{g_1-g_2}{\sqrt{\frac{g_1(1-g_1)}{n_1} + \frac{g_2(1-g_2)}{n_2}}} }[/math]
where [math]\displaystyle{ p = 2(1-\Phi(|z|)) }[/math].