On the Kawasaki the positive battery cable goes to the starter solenoid/ power distribution box. there is a direct internal path from the positive side of the solenoid, (where the positive cable connects to the solenoid) One popular problem that I have seen is clients who thought that it didn't matter which way that they hooked up the two wire on the top of the solenoid. This is absolutely incorrect as one of the terminals supplies power to the entire cycle and the other one is only activated when you hit the starter button and the contacts in the solenoid close, which then sends full battery power to the starter through the other big wire. (That is one of the other things that can't happen if the solenoid is connected backwards because if the ignition switch doesn't get the power from the starter solenoid then there is no power that can be sent back to the activation wire on the solenoid to close the points) Basically you need to check to see whether power is available: at the positive post of the starter solenoid, at the fuse located on the bottom of the starter solenoid, on the wires leading from the starter solenoid to the ignition switch.
Using an ohmmeter you can check to see if the paths in the starter solenoid are complete from the battery side to the other three wires plugged into the solenoid, (fourth one is a return wire from the starter switch to turn the solenoid on. The first three power everything on the bike.
I hope that this helps, Joe