Hurricane Confidence Intervals

UPDATE 10/5/22: No paywall article that conveys the same information: https://www.msn.com/en-us/weather/topstories/cone-of-confusion-why-some-say-iconic-hurricane-map-misled-floridians/ar-AA12Bqyp

DID YOU KNOW that hurricane prediction maps are really kinda confidence intervals? This is one of my examples that serves more as a metaphor than a concrete explanation for a statistic, so bear with me.

The New York Times created a beautiful, interactive website (it looked exceptionally sharp on my phone). The website attempts to explain what hurricane prediction maps are actually telling us, versus how people interpret hurricane prediction maps. The website is at NYT, so you probably will hit a paywall if you have already viewed three stories on the NYT website in the last month. As such, I've included screenshots here.

So, here is a map with the projected hurricane path. And people think that the white line is where the hurricane will go, and the red indicates bad weather. They also think that the broader path further inland means that the storm will increase in size.

And this misinterpretation of the data changes human behavior, potentially making people feel safe than they really are.  

In actuality, that graphic is trying to encompass all likely projected paths (illustrated below with the red dotted lines)

The circles grow smaller over time because uncertainty grows over time, as temporal distance increases.

At the end of the day, the overall cone will contain the hurricane 60-70 percent of the time. Similar to how we are confident that our confidence interval will contain true mu 95 or 90% of the time.