A survey was conducted in Ohio on high school marijuana use. Of the 2266 high school students surveyed, 952 admitted to smoking marijuana at least once. A study done 10 years earlier estimated that 45% of the students had tried marijuana. We want to conduct a hypothesis test to see if the true proportion of high school students in Ohio who tried marijuana is now less than 45%. Use alpha = .01.
What is the standard error for this test?