A candidate for one of Ohio's two U.S. Senate seats wishes to compare her support among registered voters in the northern half of the state with her support among registered voters in the southern half of the state. A random sample of 2000 registered voters in the northern half of the state is selected, of which 1062 support the candidate. Additionally, a random sample of 2000 registered voters in the southern half of the state is selected, of which 984 support the candidate. An aide of the candidate suspects that there is a difference between the two levels of support. A. State the null and the alternative hypotheses, in mathematical terms.

B. What are the values of the appropriate test statistic and the corresponding p-value (to three decimal places)?

C. Assume that alpha = 0.01. First, state whether you can reject the null hypothesis, and explain why. Then, state your conclusion verbally in terms of the original question.