So... Consider the path of a research data scientist if that sounds fun. It's also very lucrative, which is nice, too, though I'm not personally motivated by the finances of it.
While I've known a lot of PhDs who know nothing about statistics or programming or some other specific skill (nobody is an expert at everything), it's pretty hard to make it through a good graduate program while knowing none of these things. What generally happens is that domain experts try to keep their minds focused on their domains (where their value is highest), and let non-specialist work fall to generalists. Generalists then (sometimes, incorrectly) assume that the specialists are useless outside of their niche.
I'm not going to say that there aren't incompetent PhDs, but it's a bad assumption to make, in general. You don't assume that your CEO doesn't know how to clean a toilet simply because she lets the janitor do it.