Because the calculation of t depends only on the value of r,it is impossible to determine
values of r that will lead to a rejection of the null hypothesis that ñ = 0,given a certain
sample size.

Question

Quizplus · Accepted Answer

This statement is false. The calculation of t also depends on the sample size and the degrees of freedom, in addition to the value of r. Based on the calculated t-value and the degrees of freedom, it is possible to determine the corresponding probability or p-value of obtaining a t-value as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is smaller than the predetermined significance level, the null hypothesis can be rejected. Therefore, it is possible to determine values of r that will lead to a rejection of the null hypothesis, given a certain sample size, significance level, and degrees of freedom.

Because the Calculation of T Depends Only on the Value