The evidence is in the form of an experiment repeatable from your browser's dev console. Play with it.
If you hand me some code to run, I'll run it. Otherwise my test risks not being the same one that you used to make the claim.
The onus is on the person making the claim, not the person trying to verify it.
Isn't the code to run here[1]?
See my previous comment[0]. That perf test is testing Backbone's use of jQ vs. native DOM, not jQ v. DOM in isolation. I don't trust that there aren't side effects and interactions in the test.
Also, this is just one test - wyuenho's claim was for jQ vs. the DOM in general, which is a much broader claim than an unknown subset of functionality.
I don't doubt that native DOM methods are faster than jQ, but I like claims to be backed up by evidence.