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A new process for producing silicon wafers for integrated circuits is supposed to reduce the proportion...

A new process for producing silicon wafers for integrated circuits is supposed to reduce the proportion of defectives to 12%. A sample of 275 wafers will be tested. Let X represent the number of defectives in the sample. Let p represent the population proportion of defectives produced by the new process. A test will be made of H0 : p ≥ 0.12 versus H1 : p < 0.12. Assume the true value of p is actually 0.08.
a/ It is decided to reject H0 if X ≤ 22. Use the normal approximation to the binomial to find the level of this test. Find the level of this test.
b/ It is decided to reject H0 if X ≤ 22. Use the normal approximation to the binomial to find the power of this test. Find the power of this test.

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