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It would fall harder, not necessarily faster. Acceleration by gravity is about 9.8 m/s/s no matter how much or how little you weigh, up until you get near terminal velocity.
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Axion is correct, this is only true in the absence of drag (air resistance). This is a common misconception due to the fact that people remember basic physics problems but forget the assumptions and conditions specified in them. Your statement would be correct for falling objects in a vacuum but once you incorporate air resistance everything changes.
Here's a decent treatment of the topic from a source that most would consider unimpeachable.
http://www.grc.nasa.gov/WWW/K-12/airplane/falling.html