School part time employee pay regular federal and social security tax?

My wife worked as part time for 2 months. Her colleagues told her that she does not need pay federal and SS tax. I entered her W-2 into the Turbotax. No difference. It seems it asks me pay all the federal tax and SS tax. Did I miss anything? 

No place I can select or indicate as government employee (including school employee, funded by local tax money).