easiest way to check if the power switch is faulty is to remove the header on the motherboard. Then try to jump start by connecting the two pins with a conductor, maybe like the tip of a screwdriver. If it does power on, means its the case switch.
If it doesn't, use a paperclip test. If it does power on, means its not the psu and probably motherboard.
If it doesn't power on even with the paperclip test, probably the psu.