Question

For each p-value stated below, what is the decision for each if α = 0.05? What is the decision for each if α = 0.01?

A. For p = 0.0300, what is the decision if α = 0.05?

Retain the null hypothesis.

Reject the null hypothesis.

For p = 0.0300, what is the decision if α = 0.01?

Retain the null hypothesis.

Reject the null hypothesis.

B.For p = 0.1000, what is the decision if α = 0.05?

Retain the null hypothesis. Reject the null hypothesis.    

For p = 0.1000, what is the decision if α = 0.01?

Retain the null hypothesis. Reject the null hypothesis.  

C. For p = 0.0030, what is the decision if α = 0.05?

Retain the null hypothesis. Reject the null hypothesis.    

For p = 0.0030, what is the decision if α = 0.01?

Retain the null hypothesis. Reject the null hypothesis.

D. For p = 0.0005, what is the decision if α = 0.05?

Retain the null hypothesis. Reject the null hypothesis.    

For p = 0.0005, what is the decision if α = 0.01?

Retain the null hypothesis. Reject the null hypothesis.    

Answer 1

Decision rule:

If P value    then we reject H0.

If P value >   then we fail to reject H0.

A) P value = 0.0300

For = 0.05

Here P value (0.0300) < 0.05 Hence Reject the null hypothesis.

For = 0.01

P value (0.0300) > 0.01 Hence Retain the null hypothesis.

B) P value = 0.1000

For = 0.05

Here P value (0.1000) > 0.05 Hence Retain the null hypothesis.

For = 0.01

P value (0.1000) > 0.01 Hence Retain the null hypothesis.

C) P value = 0.0030

For = 0.05

Here P value (0.0030) < 0.05 Hence Reject the null hypothesis.

For = 0.01

P value (0.0030) < 0.01 Hence Reject the null hypothesis.

D) P value = 0.0005

For = 0.05

Here P value (0.0005) < 0.05 Hence Reject the null hypothesis.

For = 0.01

P value (0.0005) < 0.01 Hence Reject the null hypothesis.

Hope this will help you. Thank you :)