A columnist described the reliability of DNA paternity testing as follows: \"To

Question

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 , the probability of Type I error, and , the probability of Type II error?
=  
=  

(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 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

=

of paternity testing To acompletely acorateresu, vouwoad t be tested and are man) and your accurate if e van is not the father and 99.8 accurate if he (a eased on the information giver what the values of a the probabanydTpelerrou and A, the probatary of rne ueror of a false positive. For the followino hypotheses what the wueofprthe deciso sbaiet.n DNA testing (b) The colum which the mother is not testen Hol a particular man is the father H.: a particular man is not the father need to use the appropriate table in Appendi A to answer this question. to

Explanation / Answer

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


a) = 0.002 or 0.2% in percent terms and
ß = zero

   b) does not change so
= 0.002 or 0.2%
ß= 0.008 or 0.8%

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