A tоtаl оf 500 vоters аre rаndomly selected in a certain precinct and asked whether they plan to vote for the Democratic incumbent or the Republican challenger. Of the 500 surveyed, 250 said they would vote for the Democratic incumbent. Using the 0.99 level of confidence, what are the confidence limits for the proportion that plan to vote for the Democratic incumbent? Calculate the corresponding confidence limits and state them below. (Please make sure to show ALL of work. Answers without supporting work will receive a zero.)