Medium Transport; Low Wing; 2 Turbojet Eng
Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument; Flight Crew Multiengine
Situational Awareness; Communication Breakdown
Deviation - Altitude Overshoot; Deviation / Discrepancy - Procedural Clearance; Inflight Event / Encounter CFTT / CFIT
Air Traffic Control Issued Advisory / Alert; Flight Crew Returned To Clearance
Human Factors
Assigned heading and altitude during arrival; ATC notified us of a low altitude alert as PM (Pilot Monitoring) and PF (Pilot Flying) agreed that they were too low and arrested the decent. ATC assigned a new altitude and heading that was immediately complied with via assuming manual control. The flight returned to a safe altitude and completed an uneventful approach and landing. I believe [that] during the read back; the PM transposed heading 170 and 9;000 feet assigned with heading 190 and 7;000 feet assigned. The FCP was selected to heading 190 and 7;000 feet in the altitude window. Better monitoring by the PF could have helped mitigate this transposition. Also when both the PF and PM questioned the apparent low altitude; a more immediate halt of the descent and a query to ATC would have been the most appropriate course of action.
After descending via the KOHOE3; Denver Approach gave us a vector heading and altitude assignment for Runway 35R. We believe the clearance was descent and maintain 9;000 and turn to heading 170. Unfortunately I transposed the instructions in my head and thought we were cleared down to 7;000 and a heading of 190. ATC issued a low altitude alert to us and we immediately climbed to the assigned altitude and heading. We were then cleared [for the] approach and landed without incident.The primary cause for this event was not getting the clearance correct and neither I nor my Pilot Flying caught it in time before ATC corrected us. It was also the last flight of a long and challenging day. I need to perfect situational awareness as Pilot Monitoring and make sure something like this never happens to myself or my crew again. It was definitely a big learning experience. If I have any doubt on an instruction I will make sure to clarify it with ATC immediately.
Air carrier flight crew reported experiencing miscommunication that led to a low altitude alert.