many decisions we make are shortcuts in life. Maybe at one point something was a rational data decisions. But you can turn that into a 'gut feel' very quickly with little thought.
Changing someone's opinion with facts almost rarely works. Unless they do not care about the outcome. Then you can easily change their minds. Something like 1+1=3 'hey you got that wrong' 'oh yeah you are right its 2'. That sort of fact decision is easy to 'fix'. But which steakhouse is the best one on the market? You will get lots of opinions and anecdotes. But there are known and sometimes manipulative methods to change someone's opinion on those things. Edward Bernays methods are usually manipulative and use extensively in politics and marketing campaigns. I usually personally use a more questioning methodology. You also have to get past the idea of 'right vs wrong' also, and be willing to change your own opinions. If not fact methodology usually makes people dig in and ignore you.