Suppose the administration at a local university claims that 65% of their college graduates obtain jobs no longer than a month after graduation. For 150 randomly chosen college graduates of the school, it is found that 76 of them had job offers right after graduation.
a) Construct a 90% confidence interval for the true proportion of the school graduates who have job offers right after graduation.
b) Interpret the Confidence interval.
c) Is the school administration’s claim justified? Explain.