Question

Can someone explain why this answer is A rather than D? I am very confused

15. Suppose the P-value for testing hypotheses was computed to be 0.057. Which of the following statements is correct? e we can reject the null hypothesis at a = 0.10 but not at 0.05 or 0.01 b) we can reject the alternative hypothesis at a = 0.01 and 0.05 but not at 0.10 c) we can reject the alternative hypothesis at a = 0.05 and the null at the a = 0.10. we can reject the null hypothesis at a = 0.01 and 0.05 but not at 0.10 e) we can reject the alternative hypothesis at a = 0.10 but not at 0.05 or 0.01

Answer 1

As we reject the given null hypothesis, when p value is less than or equal to the $\alpha$

otherwise we have to accept the given null hypothesis.

and we know   

0.01 <0.05 <0.057 <0.1

For above question p value is 0.057 , so to reject the null hypothesis   this condition must be satisfied.

0.057 <α

it is satisfied for the

a = 0.1

and not for (as these values are less than 0.057)

a = 0.05, 0.01

Hence option a) is correct rather than d).