The police came to my home to arrest my son. Am I required by law to give them information about him?

No, assuming of course your son is not inside your home at the time they arrive with a warrant to arrest him. You are under no obligation to provide police with information that will assist them in conducting a criminal investigation or solving a crime. The only thing you are required to provide police if they ask you for it is basic identification--such as your driver's license. You do not have to answer police questions unless you want to. If you aren't sure whether you want to assist the police or not, tell them you would like to consult a lawyer first and that either you or the lawyer will get back to them if you decide to answer their questions. On the other hand, if you know there is a warrant out for your son's arrest, and he is actually in your house when the police come looking for him, and you refuse to tell them or deny he is inside your home, you might be charged with harboring a fugitive or a related offense.