Suppose researchers want to know if a positive linear relationship exists between pre- and post-test scores on the test.
Twenty-five students are given the test as a pre-test. Then these $25$ subjects are put into an extensive review course. After the review course, the subjects took the test once more.
A linear regression T-test is performed on
$$Ho: B = 0 Ha: B>0$$
Define B as the true slope of the linear regression line when plotting pre-test vs. post-test scores.
If $p<0.01$, one could conclude