The phrase "a large majority were" is correct and usable in written English.
It can be used when discussing the opinions, behaviors, or characteristics of a significant portion of a group.
Example: "In the survey, a large majority were in favor of implementing the new policy."
Alternatives: "a significant majority were" or "most of the participants were".
Cases were widely dispersed across Britain, though a large majority were female.
Of 500 children directly affected in three factory raids examined in the report in which 900 adult immigrants were arrested, a large majority were United States citizens younger than 10.
But even those who survived surgery — and they're a majority, in some cases a large majority — weren't out of the woods.
But a large majority were sympathetic to the principle of performance pay for teachers.
That seems very likely, because they would have received their Ticket after they could no longer use them, and a large majority were deceased.
If the patients did take their medicines as prescribed and did adhere to treatment, a large majority were less likely to develop multidrug-resistance.
More than 10,000 hedge funds are registered worldwide, and a large majority are small and anonymous.
Some of that money was federal funds managed by nonprofit agencies, but a large majority was private.
Under-employment continues to rise and, where jobs are being created, a large majority are in low-paid sectors, exacerbating falls in living standards.
In his speech at the straw poll he said that "the American people now, by a large majority, are saying we have been overseas too long.
The senior United Nations official in the region today painted a devastating picture of the Palestinian economy under Israeli siege in which a large majority was "scrambling to survive" on less than $2 a day and despair was fueling ever greater extremism.
