This is probably the most common question from students and parents alike. To answer this one question, ask yourself a few more:
Am I dedicated to my music studies right now, and willing to practice even when it sometimes means I can't hang out with my friends?
Am I studying with a qualified teacher who has told me that I stand a good chance as a music major?
Is there another interest of mine that I also feel strongly about pursuing, to the point that it might interfere with my practicing or music study?
A music major (with either a performance or an education concentration) takes a uniquely high degree of commitment. In addition to classroom study, you will have to spend a good deal of time in the practice room to sharpen your skills, even if it means occasionally missing out on social activity! This means not only your horn-playing skills, but also piano, ear-training, sightsinging, and theory skills that must be drilled regularly, and you will also spend a significant amount of time in ensemble rehearsals.
If you consistently place highly in auditions for regional, state or even national ensembles, then music professionals have already given you some encouragement!