It wasn't gum or the LSAT, but I recall getting very annoyed with someone who brought a sandwich into a final exam and chewing so loudly that it made me want to flip a table.
@c.janson35 hit the nail on the head. The flaw is that the political commentator's claims are false because people BELIEVE them to be false, which can not be properly concluded. Widespread opinion does not equate to the truth.
... you're sittin' at the table
There'll be time ... you're sittin' at the table / There'll be time enough ... ). Test time (sittin' at the table) is not the time to ...