Question

A significance test allows you to reject a null hypothesis $\mathrm{H}0{\mathrm{H}}_0$in favor of an alternative hypothesis${\mathrm{Ha}}_a$at the $5\%$significance level. What can you say about significance at the$1\%$level?

a.$\mathrm{H}0H_0$can be rejected at the$1\%$significance level.

b. There is insufficient evidence to reject${\mathrm{H}}_0{H}_0$at the$1\%$significance level.

c. There is sufficient evidence to accept ${\mathrm{H}}_0{H}_0$at the $1\%$significance level.

d.${\mathrm{Ha}}^{H_a}$can be rejected at the $1\%$significance level.

e. The answer can't be determined from the information given.

Short answer

The answer can't be determined from the information given.

Step-by-step solution

Step 1:Given information

A significance test allows you to reject a null hypothesis $\mathrm{H}0H_0$in favor of an alternative hypothesis $\mathrm{Ha}{H}_a$at the$5\%$ significance level.

Step 2:Explaination

Reject the null hypothesis }$H_0$if and only if and given that the $P$-value is smaller than the significance level.

At the $5$ percent significance level the null hypothesis was rejected:

$P<0.05=5\%$

$\text{Do not know if the p-value}\mathit{P}\text{is less than}1\%\text{or not}$

Hence, the correct option is (e)