In the most recent Gallup Poll, President Biden's approval rating was recorded at 57% based on a sample of 1500 adult respondents.

a.Construct a 90% confidence interval for the population proportion of adults who approve of the job that President Trump is doing? (Use the z table at end of test.)

b.Interpret the confidence interval constructed in part a in the context of the problem.

c. If this poll were reported to the public, it would include a margin of error. Calculate the margin of error (based on a 95% confidence interval) for this poll? Interpret the Margin of Error in the context of the problem. What does it mean?