The alternative hypothesis when using the Z-test for the difference between the proportions for two groups is:
A) $ \pi_{1}=\pi_{2} $
B) $ \pi_{1} \neq \pi_{2} $
C) $ \pi_{1} \times \pi_{2}=2 $
D) $ \pi_{1} / \pi_{2}=2 $

Question

Quizplus · Accepted Answer

The alternative hypothesis for the Z-test for the difference between two proportions is that the proportions are unequal, meaning that they are not equal to each other. Choice B, $ \pi_{1} \neq \pi_{2} $, represents this alternative hypothesis.

The Alternative Hypothesis When Using the Z-Test for the Difference π1=π2 \pi_{1}=\pi_{2} π1​=π2​

The Alternative Hypothesis When Using the Z-Test for the Difference $\pi_{1}=\pi_{2}$