A criminal trial can be thought of as a decision problem, the two possible decisions being "guilty" and "not guilty." Moreover, in a criminal trial there is a null hypothesis in the sense of an assertion that we will continue to hold until we have strong evidence against it. Criminal trials are, therefore, similar to hypothesis testing.

What are null and alternative hypotheses in a criminal trial?

Describe in words the meaning of Type I error and Type II error in this setting.

Suppose that you are a jury member. Having studied statistics, you think in terms of a significance level alpha, the (subjective) probability of a Type I error. What considerations would affect your personal choice of alpha?