Ten pairs of points yielded a correlation coefficient $r$ of $0.79$. If $\alpha = 0.05$, which of the following statements is correct if $\mathrm { H } _ { 0 } : \rho = 0$ ? (Do not calculate a $t$-value.)
A) Because $0.79$ is greater than $0.632$, the null hypothesis is not rejected.
B) Because $0.79$ is greater than $0.632$, the null hypothesis is rejected.
C) Because $0.79$ is greater than $0.602$, the null hypothesis is not rejected.
D) There is no correlation between the variables.

Question

Quizplus · Accepted Answer

The critical value for a two-tailed test with $\alpha =0.05$ and 10 pairs of points is 0.632. Since the calculated correlation coefficient of 0.79 is greater than the critical value, we reject the null hypothesis that there is no correlation between the variables. Therefore, the correct choice is B.

Ten Pairs of Points Yielded a Correlation Coefficient rrr Of 0.790.790.79 If

Ten Pairs of Points Yielded a Correlation Coefficient $r$ Of $0.79$ If