As I said, a transistor used as a switch on the output of the hall effect sensor, may be what you need. Its response to voltage levels would be non-linear, and hopefully act as a 'switch' that would turn Off altogether at a lower voltage level, but remain open, conducting voltage, at a somewhat higher voltage level.
This behavior of a transistor used as a switch is characteristic of proper biasing voltage.
If you tell me these three voltage values in the circuit:
1. the Vcc or + supply voltage
2. the voltage from the hall effect sensor when the lever is in one position (the higher voltage of the two, (2) and (3) here)
3. the voltage from the hall effect sensor when the lever is in the other position (the lower voltage)
I can give you a schematic showing how to get a low voltage from the transistor in one lever state or position, and a high voltage from it in the other position.