understanding the meaning of the answer

All the answers to these excercices on hypothesis testing go like this : " therefore reject H_0 at a alfa greater than **(number)** " WHat does it mean? For example, at this last excercice I got that the P-value was 0.0367 and alfa was 0.05 and H_1 was >. So P should have been > than alfa. But this was not the case, and I rejected. I go and see the answer and the book says "therefore reject H_0 at a alfa greater than 3.67%" What does it mean at a alfa greater then ..? And shall I always say that in my solution?

Thank you so much.