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A manufacturing firm need to test the null hypothesis H0 that the probability p of a...

A manufacturing firm need to test the null hypothesis H0 that the probability p of a defective item is 0.1 or less, against the alternative hypothesis H1:p>0.1. The procedure is to select two items at random. If both are defective, H0 is rejected; otherwise, a third item is selected. If the third item is defective, H0 is rejected. In all other cases, H0 is accepted. What is the power of the test in terms of p?

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