Check with a multimeter. That's the only real way to know, they could have messed up and put the cap in backwards who knows...
If you connect the red (+) and black (-) to a voltage source and it reads minus voltage (-) then you have the probes reversed.
The first reading, where you got a non-negative voltage, shows the polarity. Black in center = negative, red on outside part = positive. So it's negative tip, which was the way power adapters were until many years ago, then they started going to positive tip.
All I can take away from this is: "to determine the polarity of an AC adapter, you attach the the black probe (COM) to the centre pin/barrel, and the red probe (VΩmA) to the outer edge/shell. If the voltage shown on the multimeter is positive, it means the AC adapter is centre-negative. If the voltage shown on the multimeter is negative, it means the AC adapter is center-positive."
Thus it seems to me that there must be some universal standard for multimeters that says COM (on the MM) is always positive and VΩmA is always negative -- otherwise there'd be no way to determine the polarity of the adapter, no?
This sort of shit is why I hate EE. You guys really gotta lay it out for us idiots verbosely, like we're 8 year old children. Honest.