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9.2 Exercise 13

Avg difficulty 2.5

A microbiologist is testing a water sample for E. coli. Suppose the null hypothesis, H0, is the sample does not contain E. coli. The probability that the sample does not contain E. coli, but the microbiologist thinks it does is 0.012. The probability that the sample does contain E. coli, but the microbiologist thinks it does not is 0.002. What is the power of this test?

OpenStax Statistics, 9.2 Outcomes and the Type I and Type II Errors, exercise 13

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Adapted from Statistics © 2022 Rice University. Licensed under CC BY 4.0. Source: Statistics. Imported at revision 7dea80a.