This test does not replace ALU.tst.
The normal ALU.tst tests the complete functionality of the ALU; 'out', 'zr' and 'ng' must all be correct for the test to pass.
The 'zr' and 'ng' status flags depend on the correct function of 'out'. If you are having trouble getting the computation part of the ALU working, the incorrect status bits add to the confusion.
The ALU-nostat.tst is the same as the normal ALU.tst, except that it does not stop if the status bits compare incorrectly. This lets you concentrate on getting the ALU computation correct.
Once your ALU passes ALU-nostat.tst, then you can work on the 'zr' and 'ng' status bits and get your ALU to pass ALU.tst.