Part-Time Job. The New York University’s Wasserman Center for Career Development publishes a report called “Life Beyond the Square” based on the survey conducted on baccalaureate graduates. Part of the survey gauges graduating students for having a part time job. According to the class of 2014 survey results, 81.4% of the respondents had part-time jobs during their undergraduate tenure.

Assume the class of 2014 to have 2500 students in undergraduate courses.

a. Use these data to find and interpret a 95% confidence interval for the proportion of students who have a part time job.

b. Find the margin of error for the estimate of p.

c. Express the confidence interval in the form point estimate ± margin of error.