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 presi-dent was doing a good job.
a. Construct a 95% confidence interval for the proportion of respondents who feel the president is doing a good job.
b. Based on your interval in part (a), is it reasonable to conclude that a majority of the population believes the president is doing a good job?