A sample survey interviews simple random samples of 500 public university students and 550 private university
students. Researchers wants to determine whether there
is a difference in the proportion of public and private
university students who took out student loans for
school. In all, 425 of the public university students and
500 of the private university students took out loans. Do
these results give convincing evidence at the 5%
significance level that there is a difference in the
proportion of public and private university students that
take out student loans?