<p>Perhaps things have changed, but "in my day" at least 50% of engineering majors at my school became, well, engineers. A good number branched off and did other things afterwards. A lot went directly to grad school in related fields.</p>
<p>The quantitative skills learned in engineering are very valuable in business, but so are other skills that engineers don't typically focus on, like reading and writing. Not to mention public speaking, interpersonal skills, leadership, well-roundedness, life experiences,etc. Additionally there are other disciplines where someone with a quantitative bent can exercise their innate quantitative capabilities.</p>
<p>As an engineering student you will take most electives in various branches of engineering. You will come out of school knowing relatively more than other people about subjects such as: bridge design/stress and strain, heating system thermodynamics, principles behind jet propulsion, circuit design, antenna theory, motors, etc. If these subjects interest you a lot that is a good thing.</p>
<p>On the other hand, if you major in the physical sciences in an arts & sciences college, you will learn very little about some of the above topics, unless you make an effort. Instead your electives will focus rather more on liberal arts subjects such as: philosophy, politics, music, economics, history, languages, etc. You will still develop your quantitative skills via physical science and math courses, and if you're in a school that has engineering you can take some engineering courses too if you have the prerequisites. That's what I did.</p>
<p>There is nothing wrong with being an engineer. I suggest make a good effort to find out what engineers do. Talk to parent types in your neighborhood. Even visit their offices if you can swing it. If you decide that you likely want to be an engineer, it is comforting to know that you can do other things if you change your mind, either in college or subsequently. Changing is particularly feasible if you attend a college that also has a good liberal arts school.</p>
<p>However if you decide you are really not that interested in what engineers do, I would suggest you consider whether you want your college experience dominated by learning the intracacies of disciplines you don't really care about. </p>
<p>I have degrees in both liberal arts and engineering, and at this particular point in my life I view the broadening I received via the liberal arts to be the more valuable education to me personally. I practiced engineering but only for a short while; it was not my calling.</p>
<p>But that is a personal decision each person must make for themselves; there is no global "right" answer for everyone.</p>
<p>Both paths can lead to rewarding and lucrative careers, even outside of your chosen field. If you study the physical sciences you can diversify into engineering later, with some planning and additional studies. I know several people who have done this. And if you study engineering you can do other things besides being an engineer. My focus is more on how you will actually be spending your time in college.</p>