A hypothesis test can be thought of like a criminal trial. When a person is charged with
Question:
A hypothesis test can be thought of like a criminal trial. When a person is charged with a crime, this person, the defendant, is either innocent or guilty. We can think of the null hypothesis as the defendant is innocent and the alternative as the defendant is guilty. In the trial the prosecution gives evidence to try to show the defendant is guilty. The jury than makes a decision of guilty or not guilty. Hopefully they make the correct decision. If not, there are two types of decision errors that could be made.
a. In this scenario, describe what it means for the null hypothesis to rejected when, in fact, it is true.
b. In this scenario, describe what it means if the null hypothesis is not rejected when, in fact, it is false.
c. Our judicial system is supposed to be set up to make the likelihood of making one of these as small as possible. Which one of these decision errors is that, the one described in part (a) or the one described in part (b)?
Step by Step Answer:
Introduction To Statistical Investigations
ISBN: 9781119683452
2nd Edition
Authors: Beth L.Chance, George W.Cobb, Allan J.Rossman Nathan Tintle, Todd Swanson Soma Roy