auto dispute... parking lot accident?

I recently got into a parking lot wreck. I was driving in the parking lot when I hit a guy backing up his car. the damage was to my driverside bumper in the portion of the car where the blinkers are (not the front as my headlights are still intact) Under the mirror. His was to the driver side rear corner.

I kinda admitted to the police that i was destracted for a split second until noticing it was to late. will that affect the insurance that I said that? I feel like he was also at fault for backing up too fast. I also didn't do a good police report. I never done this before, and I wasn't thinking straight.