Question

A test of the null hypothesis H₀: μ = μ₀ gives test statistic z = −0.45. (Round your answers to four decimal places.)

(a) What is the P-value if the alternative is H_a: μ > μ₀?

(b) What is the P-value if the alternative is H_a: μ < μ₀?

(c) What is the P-value if the alternative is H_a: μ ≠ μ₀?

Answer 1

Given,

test statistic z = −0.45

i.e

Z_stat = -0.45

(a) P-value if the alternative is : Right tailed test:

For right tailed test :

From Standard normal tables P(Z< -0.45) = 0.3264

P-value = 0.6736

P-value if the alternative is = 0.6736

(b) P-value if the alternative is :Left Tailed test

For Left Tailed test:

P-value if the alternative is = 0.3264

(c) What is the P-value if the alternative is :Two Tailed test

p-value = 0.6528

P-value if the alternative is = 0.6528