While we're on the topic of sports misconceptions, the excessively low rate of 4th down attempts in the NFL and in NCAA Football is absolutely ludicrous.
Then you have idiots running madden "Sim Leagues" that force us to do something that is statistically idiotic because it's "realistic", with the only justification used for this absurd practice in madden OR reality being straight logical fallacy.
It's especially sickening when teams that are down by 2 scores in the 2nd half are punting on 4th and short, but in reality teams should rarely ever punt on 4th and short (basically in cases where despite that doing so raises the opponent's chance to score once, it lowers their chance to score rapidly and enough times to be able to win).