When is a Type II Error made?

Question

A man goes to trial where he is being tried for the murder of his wife. The hypotheses being tested are:

H_o : Not guilty

H_a : Guilty

When is a Type II Error made?

Select one:

a. If the man did kill his wife but was found guilty and was not punished.

b. If the man did not kill his wife but was found not guilty and is punished for a crime he did not really commit.

c. If the man did not kill his wife but was found guilty and is punished for a crime he did not really commit.

d. No Answer

e. If the man did kill his wife but was found not guilty and was not punished.

Answer 1

Type II error is if we fail to reject H0 when it is false. So, in this case if the man did kill his wife but was found not guilty and was not punished. Option E

Answer 2

A Type 2 error is when you fail to reject the null hypothesis when it is false. which would mean that they found the person not guilty when they really were guilty. Thus, he did kill his wife but was found not guilty and was not punished (e).