Help with stats problem!!!

[NoSpoon]

So my stats teacher and I have a disagreement. The following was a homework question and the two relevant multiple choice answers:


If a null hypothesis was rejected at a significance level of 0.05, then:

A. We would have rejected the null hypothesis at the sig. level of 0.01 but not necessarily at sig. level of 0.1.

D. We would have rejected the null hypothesis at the sig. level of 0.1 but not necessarily at sig. level of 0.01.


I know why he picked the answer that he did, but I believe it should be the opposite. What do people think the correct answer should be and why? I'm not going to put which answer I think is correct to avoid biases.

Thanks!