In a poll to estimate presidential popularity, each person in a random sample of 1,000 voters was asked to agree with one of the following statements: 1. the president is doing a good job.2. the president is doing a poor job.3. i have no opinion. a total of 560 respondents selected the first statement, indicating they thought the president was doing a good job.(a) construct a 95 percent confidence interval for the portion of respondents who feel the president is doing a good job.(b) based on your interval in part, is it reasonable to conclude that a majority (half) of the population believes the president is doing a good job?