1. The problem gives two propositions: $p$: "Swimming at the New Jersey shore is allowed" and $q$: "Sharks have been spotted near the shore." 2. We are asked to interpret the compound proposition $\neg p \to q$. 3. The implication $\neg p \to q$ can be read as "If not $p$, then $q$." That means "If swimming is not allowed, then sharks have been spotted." 4. Another way to express $\neg p \to q$ using English conditional logic is: "Swimming at the New Jersey shore is not allowed unless sharks have been spotted near the shore." This means the only reason swimming is not allowed is because sharks have been spotted. 5. Among the given options, the one that matches this interpretation exactly is: "Swimming at the New Jersey shore is not allowed unless Sharks have been spotted near the shore." Final answer: Swimming at the New Jersey shore is not allowed unless Sharks have been spotted near the shore.