Question

If a null hypothesis is rejected at the 0.10 significance level but not at the 0.05 significance level, then the p-value of the test is between 0.05 and 0.10.

True or false?

Answer 1

answer is true

We reject a. null hypothesis when p value < significance level chosen in the question and fail to reject when P value > significance level

1)When we reject null hypothesis at 10 % level of significance , then it means that p value < 0.10

2)But not rejecting the hypothesis at 5% level means that p value is not < 0.05 or P value > 0.05

so from statement 1 and 2 , we can say that p value is between 0.05 and 0.10

0.05 < p < 0.10