"We are quite in danger of sending highly trained and highly intelligent young men out into the world with tables of erroneous numbers under their arms, and with a dense fog in the place where their brains ought to be. In this century, of course, they will be working on guided missiles and advising the medical profession on the control of disease, and there is no limit to the extent to which they could impede every sort of national effort."
Fisher, R N (1958). "The Nature of Probability". Centennial Review. 2: 261–274. http://www.york.ac.uk/depts/maths/histstat/fisher272.pdf
Do not be blinded by a degree, there are a lot of these people out there. As a heuristic, you may have to limit "scientist" to mean physicists and engineers, as those communities have been least affected.