When a correlation is not significant, it means that
A) There is a failure to reject Ho
B) the correlation can't be generalized to the population
C) the correlation is negative
D) a and b, but not c

Question

Quizplus · Accepted Answer

When a correlation is not significant, it means there is a failure to reject the null hypothesis (Ho), indicating that the observed correlation could very well be due to chance when considering the population from which the sample was drawn. This implies that the correlation found in the sample cannot be confidently generalized to the population, as it does not statistically significantly differ from zero. The significance of a correlation does not directly inform about its direction (positive or negative), so the statement about the correlation being negative is unrelated to its significance.

When a Correlation Is Not Significant, It Means That