There are 2,000 eligible voters in a precinct. 516 of the voters are randomly selected and asked whether they planned to vote for the Democratic incumbent or the Republican challenger. Of the 516 surveyed, 424 said they would vote for the Democratic incumbent. Using the 0.99 confidence coefficient, what are the confidence limits for the proportion that plan to vote for the Democratic incumbent?

0.778 and 0.865

0.789 and 0.855

0.790 and 0.853

0.794 and 0.850