I am not positive, but usually a typical florecent bulb will look like it is sort of burned or black on each end if it has burned out. If the bulb looks like it did when you got it (meaning all white), then you may have an issue with the hood itself.
I think you could ask a LFS to pop your bulb in one of their hoods or something to check it out. I have done this at a Petco one time, but I was trying to see the difference between two brands of lights. If not, maybe it would be cheaper to buy a bulb first to see if it will work.
I also would note that it could be possible for more than one bulb to burn out at the same time, if that your set up have multiple bulbs. Often times in florecent lights like you would find in a shop or a large building one bulb will burn out and there is a surge of electricity sent to the other bulb(s) and they will burn out as well.
Again, I am not the expert on light bulbs, especially for fish tanks, but I have seen this happen in other types of florecent bulbs, including the ones that 'screw in' like a normal light bulb.