A Pearson product-moment correlation coefficient of .34 obtained on 42 pairs of scores is, for a two-tailed test,
A) significant at the .05 level
B) significant at the .01 level
C) significant at the .001 level
D) not significant.

Question

Quizplus · Accepted Answer

For a Pearson product-moment correlation coefficient, significance levels can be determined by looking at critical values in a table or using statistical software. With 42 pairs of scores, the degrees of freedom would be 40 (n-2). For a two-tailed test at the .05 level, the critical value for 40 degrees of freedom is typically around .304 to .312 (this can slightly vary depending on the source). Since .34 is greater than this range, it is significant at the .05 level.

A Pearson Product-Moment Correlation Coefficient of