If we are testing the hypothesis that $\beta=0$ against the alternative that $\beta \neq 0$ when there are 12 data points and $\alpha=0.05$, the correct $t$ value to be used is
A) 1.812 .
B) 1.796 .
C) 2.228 .
D) 2.201 .

Question

Quizplus · Accepted Answer

Given that there are 12 data points, the degrees of freedom for the t-test would be $n - 1 = 12 - 1 = 11$. For a two-tailed test with $\alpha = 0.05$, we look up the critical value in a t-distribution table for 11 degrees of freedom. The correct critical value is 2.228, which corresponds to the tails of the distribution each containing 2.5% of the area (since it's a two-tailed test with a total of 5% significance level).

If We Are Testing the Hypothesis That β=0\beta=0β=0 Against the Alternative That

If We Are Testing the Hypothesis That $\beta=0$ Against the Alternative That