Think about what we would expect to find if there really were a skills shortage. Above all, we should see workers with the right skills doing well, while only those without those skills are doing badly. We don’t.

Yes, workers with a lot of formal education have lower unemployment than those with less, but that’s always true, in good times and bad. The crucial point is that unemployment remains much higher among workers at all education levels than it was before the financial crisis. The same is true across occupations: workers in every major category are doing worse than they were in 2007.

Some employers do complain that they’re finding it hard to find workers with the skills they need. But show us the money: If employers are really crying out for certain skills, they should be willing to offer higher wages to attract workers with those skills. In reality, however, it’s very hard to find groups of workers getting big wage increases, and the cases you can find don’t fit the conventional wisdom at all. It’s good, for example, that workers who know how to operate a sewing machine are seeing significant raises in wages, but I very much doubt that these are the skills people who make a lot of noise about the alleged gap have in mind.

And it’s not just the evidence on unemployment and wages that refutes the skills-gap story. Careful surveys of employers — like those recently conducted by researchers at both M.I.T. and the Boston Consulting Group — similarly find, as the consulting group declared, that “worries of a skills gap crisis are overblown.”

The one piece of evidence you might cite in favor of the skills-gap story is the sharp rise in long-term unemployment, which could be evidence that many workers don’t have what employers want. But it isn’t. At this point, we know a lot about the long-term unemployed, and they’re pretty much indistinguishable in skills from laid-off workers who quickly find new jobs. So what’s their problem? It’s the very fact of being out of work, which makes employers unwilling even to look at their qualifications.