Question

In the year 2000, the average car had a fuel economy of 23.2 MPG. You are curious as to whether the average in the present day is less than the historical value. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≥ 23.2, Alternative Hypothesis: μ < 23.2. If the true average fuel economy today is 38 MPG and the null hypothesis is not rejected, did a type I, type II, or no error occur?

Question 13 options:

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

Answer 1

Since the null hypothesis is not rejected but in reality the null hypothesis may be false hence Type II error is committed.

Hence option: 4) Type II Error has occurred.