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Question: Minitab can provide power for a variety of situations. Suppose that a test for ESP has four choices, and that the probability of a correct guess by chance on each trial is .25. A researcher believes that the true probability of a correct guess is .33. The following output shows the power of the one-sided test for this situation for three possible sample sizes:
a. What is the power of the test if n = 50 trials are used?
b. Write a sentence providing the power of the test for n = 100 and explaining its meaning.
c. If the researcher wants to have at least a .95 probability of detecting ESP in the study, and is correct that the true probability of a success is .33, would a sample of size 400 be sufficient? Explain.
d. If the true probability of success is actually .40 on each trial, would the power for each sample size be higher or lower than that shown in the output? Explain.
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