Question

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?

Answer 1