Using a two-tailed test with α = .05,a sample correlation of r = 0.355 for a sample of n = 30 individuals is large enough to conclude that there is a real correlation in the general population.

Question

Using a two-tailed test with α = .05,a sample correlation of r = 0.355 for a sample of n = 30 individuals is large enough to conclude that there is a real correlation in the general population.​

Quizplus · Accepted Answer

To determine if the sample correlation of r = 0.355 for a sample size of n = 30 is significant at α = .05 in a two-tailed test, we need to calculate the critical value or use a statistical table. The degrees of freedom for a correlation test are n - 2 = 28. Without specific calculations or a table reference, we cannot conclude significance solely based on the correlation coefficient and sample size. However, typically, a correlation of 0.355 with n = 30 might not be strong enough to reach statistical significance at the 0.05 level in a two-tailed test, suggesting the statement is false.

Using a Two-Tailed Test with α =