Assume We Are Interested in Determining Whether the Proportion of Voters

Multiple Choice

Assume we are interested in determining whether the proportion of voters planning to vote for candidate A (define this proportion as $\pi$ _A) is less than the proportion of voters planning to vote for candidate B (define this proportion as $\pi$ _B) using the contrary position as the null hypothesis.The correct set of hypotheses for testing here is

A) H₀: $\pi$ _A - $\pi$ _B < 0; H_a: $\pi$ _A - $\pi$ _B $\ge$ 0
B) H₀: $\pi$ _A - $\pi$ _B $\ge$ 0; H_a: $\pi$ _A - $\pi$ _B < 0
C) H₀: $\pi$ _A - $\pi$ _B = 0; H_a: $\pi$ _A - $\pi$ _B $\neq$ 0
D) H₀: $\pi$ _A - $\pi$ _B $\le$ 0; H_a: $\pi$ _A - $\pi$ _B > 0
E) none of the above