Ann Landers, in her advice column of October 24, 1994 (San Luis Obispo Telegram-Tribune), 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 99.9 per- cent accurate if he is."

a. Consider using the results of DNA paternity testing to decide between the following two hypotheses:
H0: a particular man is the father
Ha: a particular man is not the father
In the context of this problem, describe Type I and Type II errors. (Although these are not hypotheses about a popula- tion characteristic, this exercise illustrates the definitions of Type I and Type II errors.)
b. Based on the information given, what are the values of a, the probability of Type I error, and b, the probability of Type II error?
c. Ann Landers also stated, "If the mother is not tested, there is a 0.8 percent chance of a false positive." For the hypotheses given in Part (a), what are the values of a and
a. Is Pizza Hut’s conclusion consistent with a decision to
reject H0 or to fail to reject H0?
b. If Pizza Hut is incorrect in its conclusion, is the com- pany making a Type I or a Type II error?