Can an apartment manager evict you over hearsay?

I stay in an apartment complex where the manager doesn't live. So when she comes up here the next day she goes around asking questions about the apartment. Someone lied and said that my 9 year old daughter was outside at 11pm by herself with some older tenants while they were disturbing others. One of the tenants that got wrote up for disturbing, admitted they were outside that night of questioning and told the manager that my daughter wasn't outside that it was a lie. What can I do?