In using the Z-test for comparing two proportions,the null hypothesis is typically stated as:
A) $ \pi_{1}=\pi_{2} $
B) $ \pi_{1} \neq \pi_{2} $
C) $ \pi_{1} \times \pi_{2}=1 $
D) $ \pi_{1}-\pi_{2}=1 $

Question

Quizplus · Accepted Answer

The null hypothesis for comparing two proportions using the Z-test is typically stated as $ \pi_{1}=\pi_{2} $, which means there is no significant difference between the two population proportions. The alternative hypothesis can be one-tailed or two-tailed, depending on the research question. Option B is the alternative hypothesis, not the null hypothesis. Option C does not make sense as the product of two proportions is not equal to one in general. Option D is not a valid null hypothesis for comparing two proportions.

In Using the Z-Test for Comparing Two Proportions,the Null Hypothesis π1=π2 \pi_{1}=\pi_{2} π1​=π2​

In Using the Z-Test for Comparing Two Proportions,the Null Hypothesis $\pi_{1}=\pi_{2}$