Suppose we obtain a random sample of 80 Champaign voters, of which 55 support marijuana legalization. We also obtain a random sample of 100 Urbana voters, of which 75 support marijuana legalization. LetpCbe the true proportion of Champaign voters who support marijuana legalization and letpUbe the true proportion of Urbana voters who support marijuana legalization.

(a)Calculate the p-value for the testH0:pU=pCversusH1:pUpC.