A food expert claims that there is no difference between the taste of two leading soft drinks.

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A food expert claims that there is no difference between the taste of two leading soft drinks. In a taste test involving 200 persons, however, 55% of the subjects say they like soft drink A better than B. If the food expert is correct, we would expect that 50% of the persons would have preferred soft drink A. Under the assumption that the food expert is correct, what would be the probability of a “taste-off” in which 110 or more of the subjects preferred soft drink A?
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