Unfortunately my weather forcast doesn't tell me it's between 10 and 15 degrees with 80% probability but the weather forcast for tomorrow is 12 degrees. As such it makes more sense to say it was wrong.
Certainly it is easier to say it was wrong. Meteorologists actually do see the error bars &c., then they dumb it down so most people can grasp what they're saying. I understand there is ongoing discussion as to what kind of balance is appropriate between being precise and being understandable. Unfortunately, status quo bias seems to be dictating the outcome of that discussion, and much of the information in meteorological models is never provided to the general public as a result.
Alternatively, what single concept from statistics would most improve people's interpretations of popular news and daily life events?