We can test the null hypothesis that ñ = 0 by transforming the sample correlation coefficient into a statistic that has a sampling distribution that closely approximates the _____ distribution with _____ degrees of freedom.
A)F;N - 1
B)F;N - 2
C)t;N - 1
D)t;N - 2

Question

Quizplus · Accepted Answer

When testing the null hypothesis that the population correlation coefficient ñ is zero, we use a t-test with N-2 degrees of freedom. This is because the test statistic follows a t-distribution with N-2 degrees of freedom under the null hypothesis. The F-distribution is used in ANOVA tests, which is not applicable here. Therefore, the correct choice is D.

We Can Test the Null Hypothesis That ñ = 0