A university admissions officer regularly administers a test to all entering freshmen. A new version of the test is marketed by the testing company. To evaluate the new form, the admissions officer has 121 freshmen take both the old and the new versions. After the end of the school year, the admissions officer correlates the two scores with each other and with the students' freshman grade-point averages (GPAs). With 1 indicating the old test version, 2 the new test version, and G the GPA,
rl2 = 0.6969 r1G = 0.5514 r2G = 0.4188
Test the hypothesis that the two forms of the test are equally correlated with GPA. Use a two-tailed test with α = .05. Assume that the straight-line regression assumptions hold.