Predicting with a Regression Equation · Exercise 1

True or False? If False, correct it: Suppose you are performing a simple linear regression of Y on X and you test the hypothesis that the slope β is zero against a two-sided alternative. You have $n=25$ observations and your computed test (t) statistic is 2.6. Then your P-value is given by.01 < P <.02, which gives borderline significance (i.e. you would reject $H_0$ at $\alpha =.02$ but fail to reject $H_0$ at $\alpha =.01$).

OpenStax, Introductory Business Statistics 2e · §13.6 Predicting with a Regression Equation · Exercise 1