In their dissent, the two-pronged test outlined in Connick v. Myers was thought to be impermissibly expanded in scope by the majority's decision. In this test, one must prove that the speech in question; 1.
In their disagreement, the two-pronged test as outlined in Connick v. Myers was deemed to be excessively broad by the majority's decision. In this test, one must prove that the speech in question falls under 1.