I have recently had my Xbox shut off as power supply is now working

I decided to clean the inside as some YouTube videos recommend so I did that and it would turn on and off so I ordered a power supply finding that was the reason .
It just came in and I plugged it in and when I go turn on my Xbox it makes the sounds as it would turn on and if I were to tap it again it would make the sounds that it shut off. The problem is on the Xbox signal it shows no light indicated when I press it on. Any help