The present invention is based on the unexpected discovery that the fluid resistance of hoses can be greatly enhanced by adding a chlorinated paraffin to a chlorinated polyethylene elastomer or a chlorosulfonated polyethylene elastomer which is used as the tubular inner core layer of the hose. Hoses made using this approach offer the advantage of having improved resistance to modern automotive fluids, including power steering fluid, transmission fluid, and the like, without compromising flexural characteristics or burst strength. Accordingly, the hoses of this invention provide a longer service life and better reliability then hoses made utilizing conventional technology. The present invention more specifically discloses a hose which is comprised of (1) an elastomeric tubular inner core layer defining a lumen, (2) a friction layer, and (3) an elastomeric cover, wherein the elastomeric tubular inner core layer is comprised of (i) a chlorinated elastomer selected from the group consisting of epichlorohydrin, polychloroprene, chlorinated polyethylene and chlorosulfonated polyethylene, (ii) 1 phr to 50 phr of a chlorinated paraffin, and (iii) 30 phr to 120 phr of carbon black. It is typically preferred for the chlorinated elastomer to be chlorinated polyethylene or chlorosulfonated polyethylene.