The correlation between two variables is -0.63 for a sample of 20 observations. Which of the following is a correct conclusion based on the data given? Use the .05 significance level.
A) Reject H0. There is a negative association between the variables.
B) Do not reject H0. There is a negative association between the variables.
C) Reject H0. There is a positive association between the variables.
D) None of the above.

Question

Quizplus · Accepted Answer

The correlation coefficient of -0.63 indicates a moderate negative association. With 20 observations, the critical value for significance at the 0.05 level is approximately ±0.444. Since -0.63 is less than -0.444, we reject the null hypothesis (H0) of no correlation, concluding there is a significant negative association.

The Correlation Between Two Variables Is -0