I'll tell you how it really works. I apologies that I haven't read all the responses but this subject frustrates me immensely and I think it ought to be explained correctly occasionally.
First, this is not a true or false question. It cannot be asked that way.
Current is what kills. This is a fact. somewhere around 20 milliamps, usually it takes more.
But now you have to consider how to get 20 milliamps or more through the body.
Did I say body. That's not accurate either. It's heart.
Well, now you need some Ohm's law. Voltage divided by resistance equals current.
Ever measured a human's resistance. It's around 1 megaohm when you're dry. It can be a lot lower when you're wet. The trouble I have here is that I've seen lots of numbers that don't agree with the measurements in the real world that I've seen. There are several reasons for it. contact surface area is one. More importantly is how wet your skin surface is. even further, is that sweat is saline, or salt water, which is a far better conductor than, say. distilled water.
What the last paragraph means is that you're a variable resister.
Given that you're a resister, and typically a rather high resistance, looking at Ohm's law again, you'll need, usually, a significant voltage to push the current high enough to be fatal.
Let's do some math. If I'm looking to put 20 milliamps through a megaohm the equation for the voltage needed is V=IR , that's voltage equals current times resistance. Or how much voltage is "required" to push a fatal current through a human under typical conditions? The equation is, V = .02 X 1,000,000 = 20,000 or 20,000 volts.
But we know that this isn't true, don't we?
So what are the constants? Just one, current, 20 milliamps, or so.
The variables are both voltage and resistance. Our bodies are constantly at different resistances. How do we control that number? The only value we really have control over is voltage. So given that, we could just as well say that voltage kills. Or we could say that it's voltage that kills because that's what's necessary to push the current. And it definitely is.
And beyond that, you can't separate any one element of Ohm's law and encapsulate it as if the other two don't matter because all three only exist as a single dynamic unit.
I don't like that this is such a standard question and neither the students nor the instructors really understand it. It's not a true or false question!