Final answer:
The nurse aide should place the signaling device on the left side of the bed near the client's hand.
Step-by-step explanation:
The nurse aide should place the signaling device on the left side of the bed near the client's hand. This is because the client has right-sided paralysis, and placing the signaling device on the left side would be easily accessible for the client to reach and activate in case of an emergency or need for assistance. It is important to position the signaling device within the client's reach to ensure their safety and comfort.