Suppose there is a gene which, if someone has it, causes them to turn into a werewolf if they are exposed to a full moon. Let W be someone having the werewolf gene. You know that P(W) = 0.3. One can test for the gene by taking someone's blood and dropping it on a sheet of silver and seeing if it reacts. Let S be this `silver test', and suppose that you are told that P(S) = 0.65. Suppose, finally, that you know that the `silver test' has a type-2 error rate of 0.05.
What is the type-1 error rate of the `silver test'?
