I'll add a little here: While it's good to look into what jobs you could have for a given major, I wouldn't be sweating it too much. Depending on the source/study, an estimated 50%-80% of college freshman switch their major at least once ( I did). Also, while asking for, caring about and respecting your parents views are fine, don't do these two things: (1) take your career track from their opinions of what you should be, or (2) take your career track to go against them in some way (i.e., if you really want to be a doctor, but don't want to "be like mom", who is a doctor).
After that warning, to directly answer your question: One computer scientist major I knew in undergrad (note: he switched out of physics after I switched in, but we still had many friends in common) started his career path as a "help-desk" type of person at a company, moved into programming at a second, and now is a "senior level software engineer" at yet another company (coordinating the efforts of junior- and entry-level programmers to develop more complex software).