Question

The mean age of judges in Dallas is greater than 50.2 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

Answer 1

There is insufficient evidence to support the claim that the mean age is greater than 50.2 years. i.e ( μ > 50.2)

Explanation:

Given that:

The mean age of judges in Dallas is greater than 50.2 years.

If a hypothesis test is performed, then the null and the alternative hypothesis can be computed as follows:

The null hypothesis is that the mean age of the judges in Dallas is equal to 50.2

i.e

`H_o : \mu =50.2`

The alternative hypothesis is that the mean age of the judges in Dallas is greater than 50.2

i.e

`H_1 : \mu > 50.2`

Decision Rule: Fail to reject the null hypothesis.

The interpretation of this decision rule implies that:

There is insufficient evidence to support the claim that the mean age is greater than 50.2 years. i.e ( μ > 50.2)