The test-tube kits are recognised as being far more accurate than the strips. I started by buying the strips but as soon as I had used them I bought a drop kit. Although more expensive they will last much longer than strips, so are more accurate and cheaper in the long run
Are you sure somewhere along the lines Nitrites and nitrates have not gotten confused?
In general strip tests are not known for their accuracy but that is quite a difference. That being said though I use Tetratest 5in1 strips for quick checks, they are pretty accurate and are good for quickly checking everything is ok. If something looks out of place I break out the liquid test kits for a more accurate reading. It all depend on what strip tests (and liquid tests) you are using.
A lot of lfs stores will not use the test strips as they are not accurate at all. You are definitely best sticking with your liquid test kit for a more accurate reading.