None of what you describe is something I'd hire into a data science role specifically. Some of those skills are skills I'd expect a data scientist to have (e.g.

None of what you describe is something I'd hire into a data science role specifically. Some of those skills are skills I'd expect a data scientist to have (e.g. SQL skills). A data scientist in this context has to have an understanding of basic statistics generally: hypothesis testing, modelling techniques and their applications, and performance tuning and evaluation. They also need to understand how to devise and run experiments that collect and make use of data in practice (i.e. "real world" data). I wouldn't necessarily expect a candidate to be able to derive the formulas involved, but it would be the odd candidate who truly grasped the nuances who could not do so.