Question

In a poll to estimate presidential popularity, each person in a random sample of 1,500 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 690 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 job. (b) Based on your interval in part (a), is it reasonable to conclude that a majority (more than half) of the population believes the president is doing a good job?

Answer 1