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 99.9 percent accurate if he is." (a) Based on the information given, what are the values of alpha, the probability of Type I error, and beta, the probability of Type II error? alpha = beta = (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 beta if the decision is based on DNA testing in which the mother is not tested? H_0: a particular man is the father H_a: a particular man is not the father

Explanation / Answer

1) here alpha =0.001 as rejecting that he is father if he is father

beta=0; cause 0 probabilty of accepting that he is father when he is not

2)beta is 0.008; probability that he is father when he is not

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