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?

Part (a) For p = 0.1500, what is the decision if α = 0.05? Retain the null hypothesis. Reject the null hypothesis. For p = 0.1500, what is the decision if α = 0.01? Retain the null hypothesis. Reject the null hypothesis.

Part (b) For p = 0.0020, what is the decision if α = 0.05? Retain the null hypothesis. Reject the null hypothesis. For p = 0.0020, what is the decision if α = 0.01? Retain the null hypothesis. Reject the null hypothesis.

Part (c) For p = 0.0250, what is the decision if α = 0.05? Retain the null hypothesis. Reject the null hypothesis. For p = 0.0250, what is the decision if α = 0.01? Retain the null hypothesis. Reject the null hypothesis.

Part (d) For p = 0.0003, what is the decision if α = 0.05? Retain the null hypothesis. Reject the null hypothesis. For p = 0.0003, what is the decision if α = 0.01? Retain the null hypothesis. Reject the null hypothesis.

Answer 1

Decision rule = Null hypothesis is rejected if p-value < level of significance.

a)

For p = 0.1500

Since p > 0.05 Retain the null hypothesis

Since p > 0.01 Retain the null hypothesis

b)

For p = 0.0020

Since p < 0.05 Reject the null hypothesis

Since p < 0.01 Reject the null hypothesis

c)

For p = 0.0250

Since p < 0.05 Reject the null hypothesis

Since p > 0.01 Retain the null hypothesis

d)

For p = 0.0003

Since p < 0.05 Reject the null hypothesis

Since p < 0.01 Reject the null hypothesis