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An engineer is designing an experiment to test if airplane engines are faulty and unsafe to...

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 0.1% and the alternative hypothesis is that the probability the engine is unsafe is greater than 0.1%. We consider two types of errors in the hypothesis testing: a Type I error and Type II error. A Type I error is committed when we reject the null hypothesis when the null hypothesis is actually true. A Type II error is made when we do not reject the null hypothesis and the null hypothesis and the null hypothesis is actually false.

If the consequence of a Type I error is that the engine is safe. What is the consequence of a Type II error?

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