A columnist described the reliability of DNA paternity testing as follows: "To get a completely accurate result, you would have to be tested, and so would (the man) and your mother. The test is 100 percent accurate if the man is not the father and 99.8 percent accurate if he is."

(a) Based on the information given, what are the values of α, the probability of Type I error, and β, the probability of Type II error?
α =
β =

(b) The columnist also stated, "If the mother is not tested, there is a 0.8 percent chance of a false positive." For the following hypotheses, what is the value of β if the decision is based on DNA testing in which the mother is not tested?

H0: a particular man is the father
Ha: a particular man is not the father

β =