Chances of transferring to top tier schools

As far as I know, schools do definitely weigh in your major, as they need to fill spots for each one they provide at their respective universities. If that wasnt the case, then UCLA would be full of engineering majors. How come UCLA has a 60% admission rate for stats majors while engineering is more like 9%? This is coming from admissions officers from schools like UCB, USC, northwestern, and a couple of the private schools i mentioned. And btw, will go on to grad school while working in software.