Ten pairs of points yielded a correlation coefficient of 0.790. If , which of the following statements is correct if ? (Do not calculate a t-value.)
A) Because 0.790 is greater than 0.632, the null hypothesis is not rejected.
B) Because 0.790 is greater than 0.632, the null hypothesis is rejected.
C) Because 0.790 is greater than 0.602, the null hypothesis is not rejected.
D) There is no correlation between the variables.

Question

Ten pairs of points yielded a correlation coefficient  of 0.790. If  , which of the following statements is correct if  ? (Do not calculate a t-value.)
A) Because 0.790 is greater than 0.632, the null hypothesis is not rejected. 
B) Because 0.790 is greater than 0.632, the null hypothesis is rejected. 
C) Because 0.790 is greater than 0.602, the null hypothesis is not rejected. 
D) There is no correlation between the variables.

Quizplus · Accepted Answer

The correlation coefficient of 0.790 indicates a moderate to strong positive correlation between the two variables. Since the p-value is less than the alpha level of 0.05, we reject the null hypothesis that there is no correlation between the variables. Therefore, choice B is the correct answer.

Ten Pairs of Points Yielded a Correlation Coefficient of 0.790