When you bounce a basketball on the floor, the main forces involved in this action include the force of gravity acting on the ball and the normal force exerted by the floor.
As the ball falls, gravity pulls it downward. Upon contacting the floor, the ball exerts a downward force on the floor due to its weight. According to Newton's third law of motion, for every action, there is an equal and opposite reaction; therefore, the floor exerts an equal and opposite force upwards on the ball. This force from the floor is the normal force, which is what causes the ball to bounce back up after hitting the floor.
So, the correct explanation is: "When the ball hits the floor, the ball pushes down against the floor and the floor pushes back against the ball."