What is the status of offenders who are allowed to live at home but are restricted to approved activities?

The correct answer is house arrest. In the context of criminal justice, house arrest allows offenders to remain in their home while restricting their movements and activities to approved ones. This type of supervision is often used as an alternative to incarceration, allowing for parolees or individuals awaiting trial to maintain a degree of freedom while still being monitored and held accountable for their actions. House arrest typically involves electronic monitoring or regular check-ins with law enforcement to ensure compliance with the restrictions placed upon the individual.

Probation involves receiving a suspended sentence with specific conditions but does not typically confine an individual to their home. Detention refers to the confinement of individuals while they await trial or sentencing, often in correctional facilities, which contrasts with the concept of living at home. Parole refers to early release from prison under specific conditions and might allow for greater freedom than house arrest while still requiring supervision and compliance with certain regulations.