The given statement "The passage does not commit the fallacy of complex question; it commits the fallacy of hasty generalization" is false.
The passage commits the fallacy of hasty generalization by drawing a sweeping conclusion about the superiority of Tylenol for pain relief based solely on the endorsement of "all the doctors in that commercial." This inference is hasty because it relies on a narrow and potentially biased source – a commercial – without considering a more comprehensive and diverse body of evidence or expert opinions.
Hasty generalization occurs when a conclusion is reached from insufficient or selective evidence, and in this case, the statement overlooks the broader spectrum of pain relievers and medical expertise, making the argument logically weak. Hence the given statement is false.