Here is a "philnominal" video by my favorite Astronomer, Phil Plait. In this video, Phil explains why science is important. Phil explains how science is part of everything in our daily lives. No science = No Electricity, No Cameras, No Internet and pretty no civilization as we know it today.
Here is a link to Phil's original blog post of this video. His video is actually part of the Why is Science Important project. I highly recommend that you visit their site and watch some of the videos from scientists.