Two movie critics wish to see if they have similar opinions regarding movies. They independently rank-order eight movies from 1 (most favorite) to 8 (least favorite). Assuming α = .05 (two-tailed), which of the following analyses would lead to the conclusion that they significantly agree with each other?
A) r = .57
B) r = .59
C) r = .63
D) r = .65

Question

Quizplus · Accepted Answer

The correct analysis would be calculating the Pearson correlation coefficient (r) between the two sets of rankings. The higher the correlation coefficient, the more agreement there is between the two critics. Since the alpha level is set at .05 (two-tailed), we would look for a correlation coefficient that is significant at the .05 level. The critical value for a two-tailed test with seven degrees of freedom is .592, which means that any correlation coefficient greater than .592 or less than -.592 would be significant at the .05 level. Therefore, the only choice that meets this criteria is D (r = .65).

Two Movie Critics Wish to See If They Have Similar