We are all terrible at applying statistics, it is incongruent with the way our intuition works. It takes intentional consideration plus math and understanding to consider things statistically, much harder than the immediate intuitive answers our brains give us. The worst part is sometimes those intuitive answers are dead on, sometimes they totally miss the mark, and we have no way of knowing which is which without doing the hard work to evaluate the situation statistically.
The boom Thinking Fast and Slow covers this in great detail and provides some guidance on how to manage it.