Every day we all use hypothesis testing to understand our lives. The following s

Question

Every day we all use hypothesis testing to understand our lives. The following situation models the logic of a hypothesis test when an electrician needs to solve an electrical problem. The electrician uses an instrument to test whether or not an electrical circuit is defective. The instrument sometimes fails to detect that a circuit is good and in working order. The null hypothesis is that the circuit is good (not defective). The alternative hypothesis is that the circuit is not good (defective). If the electrician rejects the null hypothesis, which of the following statements is true? a. The circuit is definitely defective and needs to be repaired. b. The circuit is definitely good and does not need to be repaired. c. The circuit is most likely defective, but it might be good. d. The circuit is most likely good, but it might be defective.

Explanation / Answer

Solution:

An electrician uses an instrument to test whether or not an electrical circuit is defective. The instrument sometimes fails to detect that a circuit is good and working. The null hypothesis is that the circuit is good (not defective). The alternative hypothesis is that the circuit is not good (defective). If the electrician rejects the null hypothesis, which of the following statements is true?

c. The the circuit is most likely defective, but it might be good.

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