AA 4038 then CX 81 at O'Hare
Madison → Chicago → Anchorage
Timetable, Chicago time
16:44AA 4038 from Madison at the gate
15:30CX 81 to Anchorage leaves the gate
22 h 46 apart on the timetable, overnight
CX 81 leaves 22 h 46 after AA 4038 arrives on the timetable: more than half a day, so not a connection we count.