A political scientist is studying the impact of a political debate between candidates for governor in a small western state. The scientist wants to evaluate the proportion of registered votes who switch their preference after viewing the debate. The following table contain the data from 75 registered voters.

a. Test whether there was a shift away from candidate A after the debate. Use a = .05. Carefully state your conclusion.
b. Construct a 95% confidence interval for the change after the debate in the proportion of registered voters preferring candidate A.

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Preference After Debate Preference Before Debate Candidate A Candidate EB Candidate A Candidate B 13 28 28