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 675 respondents selected the first statement, indicating they thought the president was doing a good job.
a. Construct a 98% confidence interval for the proportion of respondents who feel the president is doing a good job. (Use Student's t Distribution Table.) (Round your answers to 3 decimal places.) Confidence interval for the proportion is up to .
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?