Question

Determine the p-value for each of the following situations. (Give your answer bounds exactly.)

(a) H_a: β₁ > 0, with n = 25 and t = 1.2
< p <

(b) H_a: β₁ ≠ 0, with n = 22, b₁ = 0.22, and s_b1 = 0.08
< p <

(c) H_a: β₁ < 0, with n = 22, b₁ = -1.46, and s_b1 = 0.79
< p <

Answer 1

(a) H_a: β₁ > 0, with n = 25 and t = 1.2

One-tailed test.

Degrees of freedom = n - 2 = 25 - 2 = 23

0.10 < p-value < 0.15

b)

(b) H_a: β₁ ≠ 0, with n = 22, b₁ = 0.22, and s_b1 = 0.08

Two-tailed test.

Test statistic is

Degrees of freedom = n - 2 = 22 - 2 = 20

0.01 < P-value < 0.02

(c) H_a: β₁ < 0, with n = 22, b₁ = -1.46, and s_b1 = 0.79
One taled test.

Degrees of freedom = n - 2 = 22 - 2 = 20

0.025 < P-value < 0.05