There's nothing wrong in principle with your suggestion, although I'm going to suggest some other possibilities. The key is that you need to come up with something specific you can test. The real issue with cables is whether differences are audible. Ideally you'd like to try a range of different cables and test physical parameters and do AB tests with a variety of people. You'd then say things like "with really thin wire, you can see that the resistance or capacitance is high, and people see it as weak treble or a diffuse image." That's fairly complex, because it's going to require you to have pretty good test equipment and also to do AB tests with a reasonable sample of people. The tests that excite people here are to see whether $10,000/ft cables actually do anything. But (1) your audience isn't even going to know that there are people selling such cables, and may find the whole idea absurd, and (2) you may find it hard to get hold of such cables to test (though possibly other subscribers could help). Of course you don't have to test super-expensive cable. But if you're going to show the effects of too much resistance or capacitance, you're going to have to find or make cables that are bad enough have measurable effects. I'm not sure how easy that is. Does anyone here know how hard it is to find or make test equipment to detect the levels of resistance or capacitance required? (Can you get someone from a nearby university EE department to help?)
As for other ideas, it depends upon what areas of science are acceptable. If psychology is allowed, there are things you could do with AB testing to show what kind of biases people have and how careful testing can deal with them. However that would require you to find other people to be test subjects. Would you family, friends, and classmates help? (Also, be aware that any experiment involving human subjects may require a human subjects review. You would need to check with your school.)
I can think of various projects to check either people's preferences (in a blind test do they prefer flat response or something else? Can you identify any reasons?) or perception (what factors influence imaging?) Without doing preliminary tests I'm not sure which of these would be easy enough to show results on to be practical.
If you like to build things, you could learn lots about acoustics by building a speaker and describing the design process. I don't have the URLs handy, but I've seen online sources.
Another acoustics project would be to look at room effects, e.g. setup of subwoofers. You'll learn lots about waves and modelling.
Both of these involve a bit of math, though I don't think it would be beyond an 8th grader (at least not if you can get any help).
Another human subjects project would be to check peoples' hearing. It would be interesting to see how it varies with age and (if you think you can get people to answer a brief questionaire) exposure to rock concerts and other noise sources. For this you would probably want to work with your school nurse or someone else with a health background. If done properly this could combine electronics, acoustics, medicine and statistics. However like any experience with people, the risk is that you may find it hard to get interesting results. You'd at least want to make sure you included people with varying ages.