Hoozan ramuramu1838Has someone been telling you that proper nouns are always singular? That is in no way true. It is very common for names of bands (The Beatles), teams (The Yankees), geographical features (The Himalayas, The Great Lakes), and other proper nouns to be plural. However, it depends on the exact type of word and the situation. For instance, countries are generally singular even when their names seem plural. We'd say "The Marshall Islands is a beautiful country," but if we were talking about the islands themselves, we might use a plural: "I have visited several of the Marshall Islands." Similarly, we use a singular for titles, but that's because if we say "Star Wars is not realistic," we are talking about the movie (or movie franchise), not the actual wars or the entire set of movies (for that, we'd have to say "The Star Wars movies"). There are also well-known collective nouns that are referred to in singular. We say "The CDC is recommending that . . . " even though the name of the organization is the Centers (plural!) for Disease Control.
In the case of the sentence at hand, we are talking about a set of programs. "The Sports Medicine Programs" is not the title of a book or film, for example. Honestly, I don't see why the capitals are there. If that's really in the official question, I'd say it's a questionable choice. Even if we want to capitalize the name of the field (Sports Medicine), it doesn't make sense to capitalize "programs." So that may be feeding in to the confusion, but all the same, if we have multiple programs, we need a plural verb.