Drawing statistical inference with the help of simulations has gained prominence in statistics education as well as introducing statistical inference with randomization tests. This paper describes some selected results of a case study of preservice primary teachers who attended a short learning trajectory on statistical inference with randomization tests. It will be shown how the participants address the context, statistics and software level when conducting a randomization test with software and how the conscious linking of the three levels can support the learning process and help to understand certain elements of a randomization test.