Question

Determine whether the outcome is a Type I error, a Type II error, or a correct decision.

A test is made of

=:H0μ60 versus <:H1μ60

.

The true value of μ is 58 , and H0 is not rejected.

Answer 1

The null and alternative hypothesis are:

versus

The true value of μ is 58 i.e. the alternative hypothesis is true meaning the null hypothesis is false. However, we have failed to reject the false null hypothesis.

In statistical hypothesis testing, a type II error is the non-rejection of a false null hypothesis which is the case here. Therefore the outcome is a

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