In the poll to evaluate presidential popularity, each person in the random sample of 1000 voters was asked to agree with one of the given statements:
1) President is doing a good job.
2) President is doing a poor job.
3) I have no opinion.
A total of 560 respondents chosen first statement, indicating they thought president was doing good job.
a. Create the 95% confidence interval for portion of respondents who feel president is doing a good job.
b. Based on the intervalin part(a), It is sensible to conclude that majority (more than half) of population thinks the president is doing good job?