In calculating the Pearson correlation (r), the ______ hypothesis implies ______.
A) null; the relationship is not linear
B) alternative; the two population means are not equal
C) null; the means are all equal to each other
D) alternative; there is a relationship

Question

Quizplus · Accepted Answer

The Pearson correlation (r) is used to measure the strength and direction of the linear relationship between two continuous variables. The null hypothesis in this case is that there is no linear relationship between the two variables, whereas the alternative hypothesis is that there is a significant linear relationship between the two variables. Therefore, the correct choice is D, which states that the alternative hypothesis implies there is a relationship.

In Calculating the Pearson Correlation (R), the ______ Hypothesis Implies