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Chapter 9: Q.19 (page 537)

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?

Short Answer

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Step by step solution

01

step1:

Ho: The sample is free of E. coli.

The chance that the sample does not contain E. coli but that the microbiologist believes it does 0.012.

The chance that the sample contains E. coli but the microbiologist does not believes it does is 0.002.

02

step2:

A test's power is 1-尾, where 脽 is the probability of making a type I error.

03

s

We have

Type I error based on the information provided: the sample does not contain E. coli, but the microbiologist believes it does.

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A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening night midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing. At a 1% level of significance, an appropriate conclusion is:

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