In the following problems, we must decide whether the statement concerning a par

Question

In the following problems, we must decide whether the statement concerning a parameter is true or false; that is, we must test a hypothesis about a parameter. Formulate hypothesis, alternative hypothesis, Type 1 Error, and Type 2 Error for each scenario. 6. A hotel installs smoke detectors with adjustable sensitivity in all public guest rooms. Use the null Fire," "No Fire," Smoke Detector Sounds Alarm," and "Does Not Sound Alarm," in your answer. (short answer, 5 points) a. Ho b. Ha: c. Type 1 Error: d. Type 2 Error: e. Which type of error is worse? Why? 7. The Food and Drug Administration (FDA) is reviewing a clinical test for a new medicine. Use New Medicine," "Not Effective," "More Effective," "Approve," and "Disapprove," in your answer. (short answer, 4 points) a. Hai b. Ha c. Type 1 Error: d. Type 2 Error:

Explanation / Answer

(7)

In this case the hypotheses are:

H0: New medicine is not effective

Ha: New medicine is more effective

Type 1 error is the incorrect rejection of true null hypothesis. So,

Type 1 error: The new medicine is approved when actually it is not effective

Type 2 error is when we fail to reject a false null hypothesis So,

Type 2 error: The new medicine is not approved when actually it is effective.

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