I have found that it is extremely difficult to look at statistics and come to accurate conclusions. One trap is trying to get statistics to produce a certain result. Any fool can do that. Result - people on both sides of many debates say the statistics support their case.
I think one needs to distinguish between ignorance on the part of the person being fed distorted conclusions and statistical evidence. To claim that stats don't provide relevant data is absurd.
People are not just misled by stats, they are misled by research. It's all in one's knowledge of interpreting data, whether the data is statistical or not.
Statistics are extremely useful in epidemiology. They are useful in risk assessment. I'm sure there are many more sciences that statistics are very important in.
By the same token, I can mislead you with all sorts of data. Listerine kills germs. So what? What really matters is does Listerine prevent or cure disease? No, it doesn't, in case you were wondering. Do here's a typical case where the data also does not support the conclusion.
The bottom line is people are misled easily when we don't teach the basics of data interpretation. And we should be teaching it as a mandatory skill in primary school.
Reading, writing and math...and when science is covered in primary school, is there any inclusion of data interpretation? I think not. We teach how to do a bit of research, maybe. There is always the science fair. But have you seen any science class in primary school include interpreting results?
My guess is the teachers think that is something for advanced science. I think it is a critical skill we are not including in children's basic education.