Neither of those diagrams shows the output going to ground. Unfortunately there are two black "bus" wires joining a bunch of stuff. One is ground one is signal, and the signal does go to the tip in both, but it isn't obvious.
However, it is strange that the cap is wired directly to the output in that one diagram. Not right, but won't give you no output.
Double check that there is really 9 V (or close to it) on the red wires. That will confirm that the battery and connector are good. If you don't have some kind of volt meter it would be worth getting one. Even a cheap multimeter is a really useful tool.
Also double check that the tip/ring/sleeve are correct on the jack. The order may not match the diagram, so if you have a multimeter you can use the ohm meter for that. Also look for shorts to the shielding tape on things like pots and jacks. If you don't find the problem you could try disconnecting one pickup entirely, then connect a 9 V battery directly to the pickup power connector (i.e.: not through the sleeve of the jack) and the pickup output directly to the tip and ring of your jack. If you have sound then at least you have proven the pickup is OK.
Good luck!