Confidence in state government has dropped sharply in the past two years, according to the latest New Jersey Poll conducted in May by the Eagleton Institute of Politics of Rutgers University. The Poll found that only 9 percent of the state’s adult residents said they had “a lot of confidence” in the government in Trenton, as compared to 19 percent in March 1974 shortly after the Byrne administration took office. Even more dramatically, those who said they had “not much confidence” in state government have risen sharply from 16 percent in 1974 to 42 percent in 1976. Those with “some confidence numbered 57 percent in 1974 and 45 percent in 1976. The small number remaining had no opinion.