If a sample of n = 30 people is selected and the sample correlation between two variables is r = 0.468, what is the test statistic value for testing whether the true population correlation coefficient is equal to zero?
A) About t = 2.80
B) About t = -.3.01
C) t = 2.0484
D) Can't be determined without knowing the level of significance for the test.

Question

Quizplus · Accepted Answer

The test statistic for testing whether the true population correlation coefficient is equal to zero can be calculated using the formula $t = r\sqrt{\frac{n-2}{1-r^2}}$, where $r$ is the sample correlation and $n$ is the sample size. Substituting $r = 0.468$ and $n = 30$ into the formula gives $t \approx 2.80$. The level of significance is not needed to calculate the test statistic value.

If a Sample of N = 30 People Is Selected