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My main point of concern is, however, how specific I should be about my goals. Meaning, should I say that I wanna go into IB (and stop there), or that I am interested in an M&A advisory position with a group that specializes in the dishwasher manufacturing industry, not knowing anything about what that group does and how it does it... How detailed should be my goals description?
As a career changer myself (I want to do marketing), I had a similar situation. Basically, I (like you) researched marketing careers enough that I was able to show that I knew what the career entailed. I then tried to pick out a few undergrad, work and extracurricular experiences that related to marketing. I also wrote a bit about how I got interested in marketing and what it is about a marketing career that excites me. Finally, I researched some companies and did a couple of informational interviews to get more of a "day in the life" perspective.
I didn't go into specific types of companies that I would want to work for because, like you, I'm not really sure about that yet. However, like
kryzak said, it seems that the schools want to know that you have a really good idea of what you'll be getting into and why the new career is a good fit for you so that you'll be more likely to stick with it and be able to get a job after graduation.