(Answered) Question consider the use of metal detectors in airports to

Statistics

Question: Consider the use of metal detectors in airports to test people for concealed weapons. In essence, this is a form of hypothesis testing

a. What are the null and alternative hypotheses?

b. What are type I and type II errors in this case?

c. Which type of error is more costly?

d. Based on your answer to part (c), what value of α would you recommend for this test?

e. If the sensitivity of the metal detector is increased, how would the probabilities of type I and type II errors be affected?

f. If α is to be increased, should the sensitivity of the metal detector be increased or decreased?

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