A fast food chain famous for its roast beef sandwiches is considering altering the recipe for its signature sauce, but only if the new recipe is favored by a majority of its customers. The restaurant randomly selected 50 of its customers to participate in a blind taste test where they were asked to taste two unmarked sandwiches in a random order, one prepared with the old sauce and one prepared with the new sauce, and then to select their favorite. In the 50 taste tests, 27 of the customers preferred the new sauce and 23 of the customers preferred the old sauce.

Do these results provide convincing evidence that a majority of the restaurant’s customers prefer the new recipe for their signature sauce over the old recipe?