Do this:
Attach the alligator clip end of your test light to the little wire that goes to the solenoid (unplug it from the solenoid), and wedge the pointer tip of the test light against the negative battery post.
Now try and start the car, but watch the test light. It won't make any noise at all, let alone start, but we don't care right now.
If everything inside your car is working properly, the test light will light up every time the key is in the start position. It should be as smooth as a household light switch. If it is, then replace the solenoid, if it flickers, or doesn't light up, it's in the ignition switch.
Take care,
~Chris
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