How large a sample is needed for a correlation of r = 0.550 to be significant using a two-tailed test with α = .05?
A)n = 14
B)n = 13
C)n = 12
D)n = 11

Question

How large a sample is needed for a correlation of r = 0.550 to be significant using a two-tailed test with α = .05?​
A)​n = 14
B)​n = 13
C)​n = 12
D)​n = 11

Quizplus · Accepted Answer

To determine the sample size needed for a correlation to be significant, we use the critical value of r for a given alpha level and degrees of freedom (n-2). For α = .05 and a two-tailed test, the critical value for r with 12 degrees of freedom (n = 14) is approximately 0.532. Since 0.550 is greater than 0.532, n = 14 is sufficient for significance.

How Large a Sample Is Needed for a Correlation of R