Is there any way to determine whether business or engineering is a better major for myself?

I've been struggling with this for the past couple of months. Up until this point, I have always assumed I was going into engineering. My course load in high school was always lots of math and science courses (and some language arts, but that's not relevant to the majors I'm talking about), with other courses being graduation requirements. I've always liked math more than science, but have tolerated science, although I took my first physics course this year and for some reason I just don't like it. Because of this, I've seriously started considering other options, with business being the most appealing choice. I'm not sure if it's a good idea though, because it seems a lot less "academic" (as in less math/science focus) than what I've done up to this point. Some careers like accounting or supply chain management seem cool, but I also see that the stereotype is that most business majors are spoiled frat boys who choose it because it's easier. I'm not sure if I would be out of place in a school like that because it's not what I've done in the past, and I'm not even sure how much I'd like business or accounting. Is there any way to figure out which is right for me?

Forgot to mention, my reach school right now is Umich Ross, which only has a BBA for business majors and no other specific majors like accounting, finance, or supply chain.