What about that word ALMOST?? Why was that word THEOREM in red quotes?
Well, as stated, the theorem is FALSE. There is, in fact, a chance that by the random choices that are made when the sample was gathered that, in fact, p_pop_yes does NOT lie within the margin of error stated in the “Theorem.”
On the next page we’ll see the FINAL slide and the real THEOREM (and that pink phrase we’ve been waiting for.)