For a hypothesis test in which the null hypothesis is $\pi$₁ - $\pi$₂ = $\pi$, which of the following statements must be true? A)To reject the null hypothesis, $\pi$₁ cannot be less than $\pi$₂. B)Failing to reject the null hypothesis will mean that $\pi$₁ and $\pi$₂ are equal. C)The sample proportions can only be approximated. D)The null hypothesis can only be rejected if the sample proportions are not equal.

Question

Quizplus · Accepted Answer

The null hypothesis posits no difference between two proportions. Rejecting it implies finding evidence of a difference, hence the sample proportions must not be equal.

For a Hypothesis Test in Which the Null Hypothesis Is π\piπ

For a Hypothesis Test in Which the Null Hypothesis Is $\pi$