Yes, science is important to study, because science improves our quality of life in such a profound way. Science has developed medicine. Even the science of hand washing has drastically improved how long we live. Science allows us to design building, to improve medicine, to make it possible to live in places where humans couldn't survive without technology. Science is awesome.
Science has a very important role to play in every aspect of our lives, our health, our general well-being, the technological advances we make which enable us to meet the challenges we face (I don't think I could come up with anything which does not benefit from dialogue with the natural sciences).
I would even go as far as arguing that science, more than religion and philosophy, can help us understand how we fit into the grand scheme of things and thus help us to develop coping strategies. I don't say we do not need Art, Philosophy, Mathematics, History and so on, all the disciplines have something of value to contribute and serve to enrich our lives, but, if I was the Director of some school where funding was to be radically cut and I had to make some tough choices, I would fight for science to the bitter end and I would sacrifice other subjects.