As you must know, an alpha cutoff of 0.2 is unheard of. In which of the following circumstances would you accept such a high alpha due to high social cost of a false negative (despite the increase in likelihood of false positives due to high alpha)?

Note: Wrong selection will result in 50% points deduction on this question. Please choose wisely.

a.

Detecting saltiness in seafood

b.

Convicting a person accused of shoplifting

c.

Hiring a fraudulent real estateagent

d.

Diagnosis of engine failure

e.

Diagnosis of colon cancer

The histogram below shows the P-values for a prospective study based on 50 simulations. For alpha = 0.05 and 0.2, what are the power of the study?