Here is the complete version of this very difficult number (one of the rangiest Broadway songs ever) with Roz doing her own singing. Took a lot of balls to even attempt it!

From her autobiography, "Life Is A Banquet": At first I was only to act the part; Rose's singing was dubbed by a professional with a big trained voice. When I heard it, I got sick. "It isn't me," I said. "I'm bad, but I can't stand to hear that. Everybody knows I don't sing operatically, it throws the balance off." Warner Brothers agreed and rescored the picture, and I sang my own part. People still say that I didn't, but that's Roz, and nobody else, as Rose on the soundtrack of Gypsy.
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Roz, we love you, but if that's you in the film, then who's that singing in these clips? Ethel?