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A coin is tossed 10 times to test the hypothesis (?0) that the probability of heads...

A coin is tossed 10 times to test the hypothesis (?0) that the probability of heads is ½ versus the alternative that the probability is not ½. A test is defined by: reject ?0 if either 0 or 10 heads are observed.

a. What is the significance level of the test?

b. If in fact the probability of heads is 0.1, what is the power, (1 − ?), of the test?

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