If r = .55 and n = 16, then the correlation is significant at α = .05 in a two-tailed test.

Question

Quizplus · Accepted Answer

To determine if a correlation is significant, we need to calculate the t-statistic and compare it to the critical values for the given degrees of freedom and alpha level. With r = .55 and n = 16, we can calculate a t-value of 2.13. The critical values for a two-tailed test at alpha = .05 with 14 degrees of freedom are ±2.145. Since our calculated t-value falls within this range, we can conclude that the correlation is significant at the .05 alpha level in a two-tailed test. Therefore, the answer is A.

If R = 55 and N = 16, Then the Correlation Is Significant