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A statistician is testing the null hypothesis that exactly half of all engineers will still be in the profession 10 years after receiving their bachelor's. She took a random sample of 200 graduates from the class of 1979 and determined their occupations in 1989. She found that 111 persons were still employed primarily as engineers. Construct a 95% confidence interval estimate for the proportion of engineers remaining in the profession. lower limit=? and upper limit=?