I believed it too. The thing is, this is something no one is really incentivized to lie about. If some website says "politician did X", then your lie detector turns on, because it's worth it for lots of websites to lie or mislead about that. It would be very hard to go through life questioning the veracity of every inconsequential bit of information that no one has an incentive to lie about. I don't think it demonstrates much that students believed it. And I especially don't think it means anything about gullibility about information found online. Almost certainly, if it were printed in a book, they'd be even more likely to believe it.