There is too much person-to-person variability to answer that question in a scientific manner (unless you had a huge sample size).
People's heart rate maximums depend on their physical condition, duration of exercise, strength of their particular muscle groups, hormonal and neurological influences, their pulmonary capacity and the maximum amount of oxygen (VO2) that they can utilize (Lance Armstrong is the God of that measurement), etc. You would have to make sure that the person wasn't taking any medications designed to slow the heart rate. And since I can't dance, you would have to kill me to do Dance Dance Revolution, so already you have incomplete data.
It's unlikely that going for maximum heart rate will kill anyone without heart disease (or with heart disease for that matter) and I do it quite often when cycling, but it won't prove your point. And as Craig said, it's not a good idea. Plus, you might have issues with the committee judging your project due to potential harm to living creatures.
You can do a google search on exercise physiology. It's quite interesting.
You could look at the duration of exercise and heart rate, which would be equally interesting (I would think) and not have the safety/sample size issues.
Also, think carefully about the points that Louise brought up. There are many, many variables when dealing with human research. You need to make as many of them constant as possible. The more you do, the better the research.
Oh, and if you know someone who has a heart rate monitor (like a Polar) that can hook up to a computer, you can get solid data and graphs straight from a computer.