You read that a statistical test at the α=0.01 level has probability 0.14 of making a...

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You read that a statistical test at the α=0.01 level has probability 0.14 of making a...

You read that a statistical test at the α=0.01 level has probability 0.14 of making a Type II error when a specific alternative is true. What is the power of the test against this alternative?
Suppose we tested the null hypothesis that the weight of a McDonald's quarter pounder is 0.25 pounds (H₀ : µ = 0.25) against the alternative that the weight is below 0.25 pounds (H_a : µ < 0.25). After collecting a sample our observed z statistic was z = -2.02. Find the largest level at which the hypothesis testing procedure does not reject H₀.

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Answer 1

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The power of the test is: Power =1-0.14 = 0.86 Therefore, the power of the test is 0.86. The calculation of p-value for Z tes

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