In a poll to estimate presidential popularity, each person in a random sample of 1,030 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 575 respondents selected the first statement, indicating they thought the president was doing a good job.
(a) Construct a 95 percent confidence interval for the proportion of respondents who feel the president is doing a good job. (Round your answers to 3 decimal places.)