Whoopi Goldberg’s hit 1992 singing-nun comedy Sister Act provided such obvious fodder for a musical that it’s surprising it wasn’t given the Broadway treatment earlier. Featuring all-new songs done in the style of classic soul and disco staples, the musical adaptation of Sister Act has proven to be every bit as big of a hit as its producers (which include Goldberg) predicted it would be, scoring five Tony Award nominations in 2011. Like the film, the plot follows a disco diva who, after witnessing a murder, hides in a convent by posing as a nun. While that may sound like a thin premise, former “Cheers” writers Bill and Cheri Steinkellner brighten the script with some genuinely clever dialogue. This touring Broadway production of Sister Act runs at the Marcus Center through Feb. 24.