Jeff Lunden

Jerry Bergman is sitting in the audience at a Broadway matinée performance of The Band's Visit. Despite the fact that a huge sign above the stage tells the audience — in English, Hebrew and Arabic — to turn off cellphones, Bergman is keeping his on so he can read closed captions while watching the show.

He is one of an estimated 48 million Americans who have some degree of hearing loss. And he is availing himself of new technology that allows deaf and hearing-impaired people to enjoy shows with something most people have in their pocket — a smartphone.

A recent lawsuit brought by a blind theatergoer against the producers of the hit musical Hamilton has highlighted Broadway's spotty track record in serving audiences with disabilities.