In my experience, this usually comes from PIs that worked back in the days of "move bar of light across visual field, see neurons fire". Their experiments were ground breaking and had drastic phenotypes.
On the flipside, I've seen experiments where they are showing that one population of neurons is 2% more dynamic than another population, and sometimes you just wonder if that really matters at all (or if you are really sampling the population well enough)
See http://www-stat.stanford.edu/~ckirby/brad/papers/2005NEWMode... for a really interesting discussion of the way things are headed from a statistician's perspective.
Also, apologies for perpetuating the "arrogant economist" meme. Just reporting what I've experienced. :P
When you study psychology you don’t expect to sit around and do math all the time.
When you study biology you don’t expect to sit around and do math all the time.
When you study economics (especially if you actually want to become and economist) you do expect to sit around and do math all the time.
For many biologists and social scientists statistics classes must seem like a chore that has little to do with what they actually want to do. For economists statistics is just another one of their math tools.
My experience, though, is with applied macroeconomics. We'd derive models consistent with theory, then make sure we avoided a number of time series pitfalls (autocorrelation, mistaking cointegration for correlation, overspecifying a model) using a variety of statistical techniques.
During the last century empiricism’s role in the social science has been growing but social science as an empirical science is still relatively young and, I think more importantly, it’s not really dominated by empiricism the same way, say, physics is.
It’s still necessary to adapt and find methods.
Most biologists don't understand statistics either. To the majority, the unpaired T-Test is the only test that is needed. Ever. Doesn't matter if you have one or two tails, paired or unpaired trials, normally distributed population or skewed. Most biologists don't take proper statistics classes and most just don't care. I doubt most biologists would even be able to name alternative statistical tests.