Administration according to law means that the administrative agency shall, in accordance with the provisions of the law, within the statutory authority, and in accordance with the legal procedures, perform actions with conclusive and sufficient evidence.
According to the above definition, which of the following actions meets the requirements of the administration according to law?
In order to protect cultural relics and historical sites, a city government proposed to a household to establish a cultural relic protection demonstration site in the house courtyard owned by the household, requesting the household to move out within limited time, and decided to give them a certain amount of compensation.