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3. [-/6 Points] DETAILS PODSTAT6 10.2.015. MY NOTES ASK How accurate are DNA paternity tests? By comparing the DNA of the baby and the DNA

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3. [-/6 Points] DETAILS PODSTAT6 10.2.015. MY NOTES ASK How accurate are DNA paternity tests? By comparing the DNA of the baby and the DNA of a man that is being tested, one maker of DNA paternity tests claims that their test is 100% accurate if the man is not the father and 99.99% accurate if the man is the fathert (a) Consider using the result of this DNA paternity test to decide between the following two hypotheses. H : A particular man is not the father. H.: A particular man is the father. In the context of this problem, describe Type I and Type II errors. (Although these are not hypotheses about a population characteristic, this exercise illustrates the definitions of Type I and Type II errors.) A Type I error is coming to the conclusion that a particular man is the father when, in fact, he is not the father. A Type II error is coming to the conclusion that a particular man [is not the father when, in fact, he is the father. (b) Based on the information given, what are the values of a, the probability of a Type I error, and , the probability of a Type II error? R

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