You will note also in the link to CyberTammy's post, that those who *majored* in 'pre-medical' studies had a very close, 64.1 acceptance rate. Very few schools offer a 'pre-medicine' major, which basically consists of taking courses like Medical Neuroantomy, Histology, Endocrinology, Toxicology, et.
I dont think it really matters what your major is, but all things being equal (ie you perform equally well as either a Music major or a BME major or a 'Pre-Med' major) adcoms will next look at how relevant your classes are to medicine. Classes in a pre-med major program are obviously related to medicine, BME, I'm not too sure. Though I think with technology transceding the various fields of medicine at the rate it is, perhaps the future physician will have to be part engineer to practice the craft...