Chapter 9, Problem 55PS

According to a recent National Association of Colleges and Employers (NACE) report, $44\%$ of college student who had unpaid internships received full-time job offers post-graduation compared to $72\%$ of college student who had paid internships.

A recent survey of 60 college unpaid interns at a local university found that 30 received full-time job offers post-graduation.

a. Use the five-step p-Value approach to hypothesis testing and a 0.05 level of significance to determine whether the proportion of college unpaid interns that received full-time job offers post-graduation is different from 0.44.

b. Assume that the study found that 35 if the 60 college unpaid interns had received full-time job offers post-graduation and repeat (a). Are the conclusions the same?