Final Answer:
The null hypothesis for the research hypothesis is: There is no significant difference in the number of days clean before relapse between juvenile offenders who complete drug treatment and adult offenders who complete drug treatment (H₀: μ₁ = μ₂).
If the null hypothesis is rejected, it leads to the conclusion that age might be a significant factor influencing the effectiveness of drug treatment on relapse duration.
Step-by-step explanation:
Rejecting the null hypothesis would indicate a statistically significant difference in the number of days clean before relapse between juvenile and adult offenders completing drug treatment. This result suggests that the completion of drug treatment affects the duration of staying clean before relapse differently for these two groups.
Consequently, if the null hypothesis is rejected, it leads to the conclusion that age might be a significant factor influencing the effectiveness of drug treatment on relapse duration. However, it's important to note that this statistical significance does not imply causation; rather, it highlights a noteworthy association between completing drug treatment and relapse duration in different age groups.