Question

A test of Ho: μ-51 versus HI : μメ51 is performed using a significance level of α-0.01. The value of the test statistic is z 2.34. Part 1 of 3 Determine whether to reject Ho Y in the critical region, we ireject Since the test statistics 1 Ho at the α-0.01 level. Part 2 of 3 If the true value of u is 51, is the result a Type I error, a Type II error, or a correct decision? hoose one) Type I error Type II error
please explain how you determine which error it is as well

Answer 1

The result is a type I error.

A type I error is the rejection of a true null hypothesis, while a type II error is the failure of rejecting a false null hypothesis.

Since our true value of the mean is 51, so we are rejecting the true null hypothesis at 0.01 significance level. Hence we are committing a type I error and the probability of the type I error is 0.01