- Since the effect is significant, the
null hypothesis is rejected. It is concluded that the correlation
between QSAT and GPA is higher for engineering majors than for
humanities majors.

- An example of a report of this
finding is shown below.
The correlation between QSAT and GPA was significantly higher for the engineering majors (r = 0.61) than for the humanities majors (r =0.35), z = 2.40, p = 0.016.

- Specify the null hypothesis and an alternative hypothesis.

- Compute Pearson's
r for both samples. (click here for
formula).

- Use the r to z' table to convert the
r's to z's.

- Compute where
N
_{1}is the sample size for the first correlation and N_{2}is the sample size for the second correlation.

- Compute .

- Use a z table to find the probability value.