Lets talk about the False Positive Paradox. Say you have 1 million people, and 1 in ten thousand have a rare type of cancer. Now, the good thing is that this cancer is treatable, but the treatment is harsh, painful chemo. Another good thing is that there's a test for it that is accurate 99% of the time. So 1 million people take the test, a hundred of them have cancer. Great. They'll be treated, no problem. But what about the 999,900 people who took the test that DIDNT have cancer? Well, 1% of their tests were wrong, so you have 9,999 people who think they have cancer, but don't. They get put through the pains of chemo, taking years and even decades off of their lives. But that's not important. What is important is the 100 people who actually had cancer that took the test.
Except that the test is 99% accurate, and there are 100 people there.
One man dies of a treatable cancer, even though he was tested for it.
He wasnt guilty of any crime. He was no better or worse the the tens of thousands of people around him. He trusted that the lab would work, but it failed him.