Two candidates for governor participated in a televised debate. A political pollster recorded the preferences of 500 registered voters in a random sample prior to and after the debate:

a. At the 0.01 level of significance, is there evidence of a difference in the proportion of voters who favored Candidate A prior to and after the debate?
b. Compute the p-value in (a) and interpret its meaning.

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PREFERENCE AFTER DEBATE PREFERENCE PRIOR TO DEBATE Candidate A Candidate B Total Candidate A Candidate B Total 269 36 305 21 174 195 290 210 500