Problems with making a query when using Enum in entity

I think you should use your (fully qualified) Status enum instead of literal value, so something like this: (assuming your Status enum is in com.myexample package)

@NamedQuery(name = "Question.allApproved", 
            query = "SELECT q 
                     FROM Question q 
                     WHERE q.status = com.myexample.Status.APPROVED").