Question

#1.

a. You do a hypothesis test and reject the null hypothesis at the α = .05 level. What can you say about p? Hint: Your answer should be an inequality.

b.Can you tell from this information whether you would reject at the α = .10 level? Explain.

c. Can you tell from this information whether you would reject at the α = .01 level? Explain.

#2

a You do a hypothesis test and fail to reject the null hypothesis at the α = .05 level. What can you say about p?

b. Can you tell from this information whether you would fail to reject at the α = .01 level? Explain.

Answer 1

#1

We reject the null hypothesis if p value < significance level

a. We reject the null hypothesis at 0.05

p value< 0.05

b. If p value <0.05

And 0.05<0.10 hence

p value<0.10

Reject null hypothesis

c. p value <0.05 but we don't know whether it is less than 0.01 or not.

we may or may not reject at 0.01. We can not tell from this information

#2

a. We fail to reject the null hypothesis at 0.05

p value 0.05

b. p value 0.05

And 0.05> 0.01

p value >0.01

we fail to reject Null hypothesis at 0.01