To make a right turn in the United States is the turn signal lever moved up or down?

Turn signals are in almost every case activated by means of a horizontal lever (or "stalk") protruding from the side of the steering column, though some vehicles have the lever mounted instead to the dashboard. The outboard end of the stalk is pushed clockwise to activate the right turn signals, or anticlockwise for the left turn signals. This operation is intuitive; for any given steering manoeuvre, the stalk is pivoted in the same direction as the steering wheel must be turned. In virtually all left-hand drive cars, the signal stalk is on the left side of the column. In right-hand drive cars, the signal stalk may be on either side.[citation needed] If the vehicle's wipers are controlled by a stalk on the opposite side from the signal stalk, a driver unaccustomed to the vehicle may inadvertently activate the wrong control.

https://en.wikipedia.org/wiki/Automotive_lighting#Side_turn_signals

You always turn a steering-wheel-mounted lever in the direction you will be turning the wheel, as star-gazer stated. Left and right are not as good descriptions as clockwise and counterclockwise. This is especially clear when considering the cars star_gazer referred to which may have the lever on the opposite side of the steering column. My 2001 Australian Holden Barina has the turn signal on the left side of the steering column, rather than the right as is more standard here. Describing the way you move it as up/down can become very confusing. But I, like other Australian car drivers, always move it clockwise for a right turn. I use my left hand to flick it up, on another car I would use my right hand to flick it down.

No reference, as this is just an expansion of the information from the previous entry.

It's not all that complicated:

To signal a right turn, push the lever up (or down if the lever is to the right of your steering column).

http://www.wikihow.com/Use-Your-Turn-Signal