Step 1 :The problem is asking to state the null and alternative hypotheses for a statistical test. The null hypothesis (H0) is usually a statement of no effect or no difference. In this case, it would be that the mean hippocampal volume in adolescents with alcohol use disorders is equal to the normal volume. The alternative hypothesis (H1) is what we are testing for, in this case, it would be that the mean hippocampal volume in adolescents with alcohol use disorders is less than the normal volume.
Step 2 :The null and alternative hypotheses are usually written in terms of population parameters, such as the population mean (μ). In this case, the null hypothesis would be \(H_{0}: \mu = 9.02\) and the alternative hypothesis would be \(H_{1}: \mu < 9.02\).
Step 3 :Final Answer: The null hypothesis is \(\boxed{H_{0}: \mu = 9.02}\) and the alternative hypothesis is \(\boxed{H_{1}: \mu < 9.02}\)