The human perception of cognitive robots as social depends on many factors, including those that do not necessarily pertain to a robot's cognitive functioning. Experience Design offers a useful framework for evaluating when participants interact with robots as products or tools and when they regard them as social actors. This study describes a between-participants experiment conducted at a science museum, where visitors were invited to play a game of noughts and crosses with a Baxter robot. The goal is to foster meaningful interactions that promote engagement between the human and robot in a museum context. Using an Experience Design framework, we tested the robot in three different conditions to better understand which factors contribute to the perception of robots as social. The experiment also outlines best practices for conducting human-robot interaction research in museum exhibitions. Results from the study indicate that perceived social presence can be evaluated using a combination of HRI and Experience Design methods that measure co-presence and co-experience.