Only Admins and Hiring team members of a job can do this
From the candidate profile, click on the hiring stages, and select the desired stage. Note that, if there is an automation attached to this desired stage, it will be triggered
If a candidate is hired, you can move the stage to Hired as above.
Reject a candidate
In order to reject a candidate, select the reject selection box to select a reject reason. The list of reject reason is managed in Admin setting which only Admin can have the access