Question

Consumers Energy states that the average electric bill across the state is $42.22. You want to test the claim that the average bill amount is actually less than $42.22. The hypotheses for this situation are as follows: Null Hypothesis: μ ≥ 42.22, Alternative Hypothesis: μ < 42.22. If the true statewide average bill is $30.44 and the null hypothesis is rejected, did a type I, type II, or no error occur?

Question 15 options: 1) Type I Error has occurred. 2) Type II Error has occurred 3) No error has occurred. 4) We do not know the degrees of freedom, so we cannot determine if an error has occurred. 5) We do not know the p-value, so we cannot determine if an error has occurred.

Answer 1

Given

Null Hypothesis: μ ≥ 42.22

Alternative Hypothesis: μ < 42.22

The true statewide average bill = $30.44

If the null hypothesis is rejected then it is a type I error.

Type I error : Reject null hypothesis when it is true

So the answer is Type I error has occurred.

Answer : Option 1