A Pretty Bad Situation
Regarding those who are sure of themselves but wrong about mathematics, this right here is an example. We are not sure how accurate the claims that “nine out of ten dentists” are, but we are fairly confident that they are more accurate than the mathematics that is taking place right now.
Clearly, that is not an obstacle that presents a particularly high level of difficulty to overcome. There are a variety of logical fallacies that are based on mathematics that are included on this list. Perhaps it would be useful to rank them. The overall quality of each of them is quite low.