Statistics-In hypothesis testing we must balance the 2 types of errors

In hypothesis testing we must balance the 2 types of errors, Type I and Type II. This is not unlike what happens in a jury trial. This week we will discuss the similarities and differences between hypothesis testing and the trial of a defendant. Here are some suggestions of ideas you might discuss: how difficult is it to balance the two types of errors? how is a null hypothesis similar to the assumption of innocence in a jury trial? Is it possible to prove a hypothesis true or false? Is it possible to prove innocence or guilt? What about the burden of proof?