Question

The p-value and the value of α for a test of H_o: μ = 150 are provided for each part.  Make the appropriate conclusion regarding H_o.

1. P-value = .217, α = .10
2. P-value = .033, α = .05
3. P-value = .001, α = .05
4. P-value = .866, α = .01
5. P-value = .025, α = .01

Answer 1

Decision based on P value
Reject null hypothesis if P value < α level of significance

Part a)

P value = 0.217,   α = 0.10
P - value = 0.217 > 0.10 ,hence we fail to reject null hypothesis

Conclusion :- We fail to reject H0

Part b)

P value = 0.033,   α = 0.05
P - value = 0.033 < 0.05 ,hence we reject null hypothesis

Conclusion :- We reject H0

Part c)

P value = 0.001,   α = 0.05
P - value = 0.001 < 0.05 ,hence we reject null hypothesis

Conclusion :- We reject H0

Part d)

P value = 0.866,   α = 0.01
P - value = 0.866 > 0.01 ,hence we fail to reject null hypothesis

Conclusion :- We fail to reject H0

Part e)

P value = 0.025,   α = 0.01
P - value = 0.025 > 0.01 ,hence we fail to reject null hypothesis

Conclusion :- We fail to reject H0