That's what it's supposed to be about, but the details matter. You can get different results by tweaking the story in different ways. For example:

You are seated at a console. In front of you is a button. If you don't push the button, five randomly selected people will die. If you do push the button, only one randomly selected person will die. That is all you know. Do you push the button?

Or if that still feels like a moral dilemma to you, try this:

You are seated at a console. In front of you is a button. If you push the button you will save the lives of four randomly selected people who would otherwise die. Do you push the button?