When testing whether the majority of voters in an electorate will vote for a particular candidate, which of the following sets of hypotheses are correct? A) Ho: p = 0.50 H_A: p 0.50 H_A: p = 0.50 C) Ho: p = 0.50 H_A: p 0.50 D) None of these choices are correct

Question

When testing whether the majority of voters in an electorate will vote for a particular candidate, which of the following sets of hypotheses are correct? A) Ho: p = 0.50 H_A: p < 0.50 B) Ho: p > 0.50 H_A: p = 0.50 C) Ho: p = 0.50 H_A: p > 0.50 D) None of these choices are correct

Quizplus · Accepted Answer

The null hypothesis (Ho) in this case should be that the majority of voters will not vote for the particular candidate, which corresponds to p = 0.50 (assuming a two-candidate race). Therefore, option C is the correct choice with Ho: p = 0.50. The alternative hypothesis should be one-sided, either that the proportion of voters who will vote for the candidate is greater than 0.50 or less than 0.50. Option C satisfies this by having H_A: p > 0.50.

When Testing Whether the Majority of Voters in an Electorate