If you touch a current-carrying wire you get a shock, but if on the same wire a bird sits it does not get any shock. 

Determine whether the statement is true or false.

The given statement is true. When we hold the wire carrying current then the circuit is closed and the current flows from our body and enters the earth. 

Birds sitting on a wire don't touch the ground (or anything in contact with the ground), so electricity stays in the power line. But, if a bird touches a power line and equipment or other metal that is grounded, it gives electricity a path to the ground, and the bird could be shocked. The bird may also die from electric shock if it touches the earth wire.