Now comes the story of the lady that was peculiar about her tea. She liked her tea with milk, but you had to put the milk first and then the tea, or else she said, the tea would be ruined. Your reaction (as mine was) is that it is impossible to tell the difference. But how can you prove it?
Well, if you give the lady one cup of tea with milk added first, she has 50% change of getting it right. If you give her two cups of tea (with milk or tea added first randomly), she now only has 25% chance of getting it right. If you were to give her 5 randomly filled cups of tea with milk, her chance of getting them all right is around 3% (we usually say that a result is significant if the chances of getting it randomly are <5%).
Well, this story is real, and she was really able to tell the difference
I see a lot of statistics these days and came just across a scary find
Studies show only 10% of published science articles are reproducible. What is happening?
The stats they are using are not the latest ones (year 2008/2009) but just the numbers and the releationship between the numbers are impressive
Have a look yourself