(a) A poll of 2,277 likely voters was conducted on the president's performance. Approximately what margin of error would the approval rating estimate have if the confidence level is 95%? (Round your answer to 4 decimal places.)

Margin of error

(b) The poll showed that 44% approved the president's performance. Construct a 90% confidence interval for the true proportion. (Round your answer to 4 decimal places.)

The 90%confidence intervalis from to .