Appeals to popularity suggest that an idea must be true simply because it is widely held. This is a fallacy because popular opinion can be, and quite often is, mistaken. Hindsight makes this clear: there were times when the majority of the population believed that the Earth is the still centre of the universe, and that diseases are caused by evil spirits; neither of these ideas was true, despite its popularity.
Appeal to Authority
An appeal to authority is an argument from the fact that a person judged to be an authority affirms a proposition to the claim that the proposition is true.
Appeals to authority are always deductively fallacious; even a legitimate authority speaking on his area of expertise may affirm a falsehood, so no testimony of any authority is guaranteed to be true.
Both of these arguments are indeed telling but I have a couple more. First, there is the parable of the woman who had committed some grievous sin and was about to be stoned to death. Jesus comes along and says to the assembled men, "Let any man who is without sin cast the first stone." That woman would be alive today were it not for old age that caught up with her. But the most compelling argument I can make against all this numbers nonsense is that of Calvary. When it came time to pony up, when the time was right, God gave us his ONLY (I assume meaning 1) son. And Jesus, deserted by everyone (save his mom), including the Pharisees and the Saduccees and the assembled masses who screamed for crucifixion, knew that it takes only one person to change the world. AND, what was his last action? He took the criminal with him!
Numbers don't mean diddly.