"the majority noted" is correct and usable in written English.
You can use it when you want to refer to something that the majority of a group has noted or observed. For example: "The majority noted that the presentation was very well done."
The majority noted that only one of the plaintiffs' four theories of antitrust violations were upheld by the Federal District Court.
At the same time, the majority noted, the F.D.A. until a few years ago had consistently said it lacked the authority to regulate tobacco, and its governing statute does not seem to fit the case of tobacco.
The ruling was the culmination of Mr. Trantino's fourth appeal to the Supreme Court, and Justice Gary Stein, writing for the majority, noted the anger and public pressure that had surrounded the case.
"Formal recognition may seem a hollow act," the majority noted, "if it is not accompanied by the despatch of an ambassador, the easing of trade restrictions, and the conclusion of treaties".
WASHINGTON — When the Supreme Court ruled last week that the death penalty for raping a child was unconstitutional, the majority noted that a child rapist could face the ultimate penalty in only six states — not in any of the 30 other states that have the death penalty, and not under the jurisdiction of the federal government either.
Justice Anthony Kennedy, writing for the majority, noted that "jails can be even more dangerous than prisons because officials there know so little about the people they admit at the outset" — since jail is where you go before you've been convicted, or even charged, they don't know whether you're innocent.
State Senator Loretta Weinberg, the leader of the Democratic majority, noted that while the governor accused the courts of legislating same-sex marriage, in New Jersey, the Legislature had actually done so, only to be overruled.
In discussing giving up sovereign immunity (waiver) the Supreme Court majority noted that the Government is entitled to the most favorable interpretation of protection.
As the majority notes, "a desire for speed is not a general excuse for ignoring equal protection guarantees".
In this morning's ruling Anthony Kennedy, writing for the majority, notes that "there is disagreement" on the Court about whether Grutter was correctly decided, and indeed Antonin Scalia wrote a separate one-paragraph concurrence saying that the only reason he was joining the majority was because the plaintiff "did not ask us to overrule Grutter's holding" that diversity permits the use of race.
The leader of the Liberal Democratic Party, Petar Gosev, speaking for the Slavic Macedonian majority, noted that the plan might not stave off the worse alternative, war.
