How one responds in a hostage situation will be determined by the specific circumstances of the encounter. If you find yourself involved in such a situation, try to remain calm. It is generally recommended that you follow the directions of the hostage-taker.
Police response to this situation is different from that of an active shooter event. The police will not proceed immediately into the situation but will surround the area and attempt to set up negotiations with the hostage-taker. A hostage situation could last for hours or days. The ultimate goal is for the hostage-taker to release all hostages and peacefully surrender to the police.
If the hostage-taker begins to kill or injure people or if the negotiators believe the hostage-taker is about to start killing or injuring people, police response will change. They will likely respond immediately to stop the shooter.