Oh, if only I could make a career of pointing math things out :) Joking aside, I think a lot of researchers will oversell the applications of their technology,

Oh, if only I could make a career of pointing math things out :) Joking aside, I think a lot of researchers will oversell the applications of their technology, so it's just as important to be able to recognize when a particular math thing will help, and when it's more harm than good. The first rule of statistics is: if the decision maker already has their heart set on a particular action, you shouldn't waste your time and money designing a statistical study with fancy tests and inference techniques.