I’m getting ready for my private pilot checkride. Today my instructor and I flew from Palo Alto over to Hayward to practice short-field landings. I don’t quite have the hang of those yet, and it was good practice. On the way back to Palo Alto, the Hayward tower announced that a plane had gone down with an emergency. It was last on the radar near Coyote Hills, which was directly in front of us. After looking around a bit, we saw the Cessna sitting in a field. We called the tower and circled until a helicopter came and landed. People were walking around the plane, and it looked intact, so hopefully nobody was hurt.