If John Smith is charged with a crime under the U.S. legal system and is brought to trial, what are the null and alternative hypotheses that the judge, the jury, and the prosecution must work under? If the jury decides in favor of John Smith does this mean that he has been proven innocent? What about if the jury finds against him? Does that mean that John Smith has been proven guilty?
This solution discusses how decisions are made at the conclusion of a test of hypothesis.