Question

Consider a test of H0: μ=75 performed with the computer. The software reports a​two-tailed p-value of 0.1032.

Make the appropriate conclusion for each of the following situations.

a Ha​:μ<​75, z=−1.63​,α=0.05

b. Ha​:μ<​75, z=1.631,α=0.07

c.Ha​:μ>​75, z=1.63, α=0.07

d. Ha​:μ≠​75, z=−1.63, α=0.01

a. Choose the correct answer below.

A) There is sufficient evidence to reject H0.

B) There is insufficient evidence to reject H0.

Answer 1

1. Ha​:μ<​75, z=−1.63​,α=0.05

p value=0.0515 .P value >alpha.

B) There is insufficient evidence to reject H0.

2. Ha​:μ<​75, z=1.631,α=0.07

p value=0.0514 and α=0.07 .therefore p value < alpha.

A) There is sufficient evidence to reject H0.

3.Ha​:μ>​75, z=1.63, α=0.07

p value=0.0515 and α=0.07 .therefore p value < alpha.

A) There is sufficient evidence to reject H0.

4. Ha​:μ≠​75, z=−1.63, α=0.01

p value=0.1032 .P value >alpha.

B) There is insufficient evidence to reject H0.