In a chi-square test regarding the equality of 3 population proportions, we should form the null and alternative hypotheses as follows:
H0: $\pi$ ₁ = $\pi$ ₂ = $\pi$ ₃ (All three proportions are equal.)
Ha: $\pi$ ₁ ≠ $\pi$ ₂ ≠ $\pi$ ₃ (All three proportions are different.)

Question

In a chi-square test regarding the equality of 3 population proportions, we should form the null and alternative hypotheses as follows:
H0:

\pi

₁ =

\pi

₂ =

\pi

₃ (All three proportions are equal.)
Ha:

\pi

₁ ≠

\pi

₂ ≠

\pi

₃ (All three proportions are different.)

Quizplus · Accepted Answer

In a chi-square test for equality of proportions, the alternative hypothesis (Ha) should state that at least two of the proportions are different, not necessarily that all three must be different.

In a Chi-Square Test Regarding the Equality of 3 Population π\piπ

In a Chi-Square Test Regarding the Equality of 3 Population $\pi$