Tests of Differences between Independent Pearson Correlations (3 of 5)

---

4. (continued) For the experiment on the correlation between QSAT and GPA,the standard error of the difference between z's is:
   
   
   
   The correlations of 0.61 and 0.35 can be transformed using the r to z' table to z's of 0.709 and 0.365 respectively. Therefore,
   
   
   
   A z table can be used to find that the two-tailed probability value for a z of 2.40 is 0.016.
   
   
5. The probability computed in Step 4 is compared to the significance level stated in Step 2. Since the probability value (0.016) is less than the significance level (.05), the effect is significant.