Final answer:
In the case of New York Times v. Sullivan, the Supreme Court rejected Sullivan's arguments of actual malice and malintent. They established that public figures need to show that a negative press statement about them was published with malicious intent or reckless disregard for the truth to prove defamation.
Step-by-step explanation:
In the case of New York Times v. Sullivan, the Supreme Court rejected two arguments made by Sullivan for letting the judgment in his favor stand. Those arguments were (b) actual malice and malintent. In this case, the Court established that public figures must demonstrate that a negative press statement about them was published with either malicious intent or 'reckless disregard' for the truth in order to prove defamation.