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.

Question

Quizplus · Accepted Answer

The negative correlation coefficient (-0.63) indicates that there is a negative association between the variables. Since the significance level is given as 0.05, we need to compare the calculated p-value with this level. If the p-value is less than or equal to 0.05, we reject the null hypothesis (which states that there is no correlation between the variables) and conclude that there is a significant correlation between the variables. In this case, the null hypothesis is H₀, and since we see a significant correlation, we reject it. Therefore, option A is the correct choice.

The Correlation Between Two Variables Is -0