Question: For a candidate to win in a congressional district, he has to have won over half of the vote. The Republican candidate takes a poll to assess his chances in a two-candidate race. He polls 1200 potential voters and find that 621 plan to vote for the Republican candidate. Does the Republican candidate have a chance to win? Use a level of significance of \(\alpha \) = 0.05. (Round \(\hat{p}\) to 4 decimal places.)