You can use either mode, phase of course being better. However, once the camera thinks it has locked focus, note what the distance scale reads on the lens. For example, let's say it's 2m.
Then, using the live view zoom feature to view your subject, grab the focus ring on the lens and attempt to focus it yourself. Once you think it's as sharp as you can get it, let go, go and read the distance scale and see if it says 2m still. If it has moved, then that means the AF is not working properly.
Repeat this test multiple times to ensure it's a repeatable failure and not just a one off. Make sure it's on a steady tripod and there's sufficient light for the AF to work.