If a car hits a pedestrian crossing where there is no walk signal who is responsible in Connecticut?

It depends on the circumstances.

If the pedestrian ran out in front of the care carelessly, it is the pedestrians fault for endangering their own safety.

If the driver of the car was speeding or not concentrating properly, it is the drivers fault for disobeying the rules of the road.

Police will examine eyewitness reports and CCTV recordings to determine which is to blame.