> That led to their conclusion that: "Graduates with education majors are disproportionately found at schools where students have lower SAT scores." That doesn't mean the graduates with education majors themselves have lower scores unless you make some unsupported assumptions about distribution of SAT scores at any given college.

It assumes that education majors have similar SAT scores to other majors in a given school. That’s an assumption, sure, but I think a pretty reasonable one.