Presario R3000Z won't shut down all the way

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When I shut down or hibernate, it is completely normal except that at
the end of the process the power light never goes out - it blinks
slowly.  If I press and hold it for 5 seconds THEN it goes out.  If I
never turn it off this way (manually) the computer continues to run,
i.e. consume battery power until  the battery is dead.  I have gone so
far as to completely reinstall Windows (xp-home) and flash the BIOS
with no resolution.  Any ideas?  Bad power supply??

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