Question: A microbiologist is testing a water sample for E-coli. Suppose the null hypothesis, H 0 , is: the sample does not contain Ecoli. The probability

A microbiologist is testing a water sample for E-coli. Suppose the null hypothesis, H₀, is: the sample does not contain Ecoli.

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?

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