If everything is standard on that guitar then the only reason that pick up wouldnt work is because its a defective pick up or a wire is disconnected. it may also be possible that the selector switch is bad. take a small screw driver and tap the pick-ups in all positions while plugged in to the guitar amp and the volumes up ( not all the way) just loud enough that you can hear the tapping. you find the bad pick up when you cant hear the tapping with that pick up selected.
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If everything is standard on that guitar then the only reason that pick up wouldnt work is because its a defective pick up or a wire is disconnected. it may also be possible that the selector switch is bad. take a small screw driver and tap the pick-ups in all positions while plugged in to the guitar amp and the volumes up ( not all the way) just loud enough that you can hear the tapping. you find the bad pick up when you cant hear the tapping with that pick up selected.