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An engineer is designing an experiment to test if airplane engines are faulty and unsafe to fly. The engineer expects 0.0001% of engines to be unsafe. The null hypothesis is that the probability of an unsafe engine is less than or equal to 0.0001% and the alternative hypothesis is that the probability the engine is unsafe is greater than 0.0001%.
A) Describe the consequences of Type I and Type II errors.
B) Should the engineer design the test with a higher alpha or a higher beta? Explain.
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