When a calculated correlation is greater than the critical value shown in the table, we can infer that the probability of finding our correlation by chance is less than 5 chances of 100. Therefore, we assume that there is ______.
A) no relationship, and we refer to the correlation coefficient as "significant"
B) a true relationship, and we refer to the correlation coefficient as "not significant"
C) no relationship, and we refer to the correlation coefficient as "not significant"
D) a true relationship, and we refer to the correlation coefficient as "significant"

Question

Quizplus · Accepted Answer

When a correlation coefficient is greater than the critical value and the probability of finding this correlation by chance is less than 5 chances of 100, we assume that there is a true relationship between the variables being correlated. Therefore, we refer to the correlation coefficient as "significant." Choice D is the only option that correctly reflects this explanation.

When a Calculated Correlation Is Greater Than the Critical Value