In a survey of 10,000 students taking the SAT, 6% were planning to study education in college. In another survey of 8000 students taken 10 years before, 9% were planning to study education in college. Construct a 95% confidence interval for p₁ - p₂, where p₁ is the proportion from the recent survey and p₂ is the proportion from the survey taken 10 years ago.

Construct the indicated confidence interval for p₁ - p₂. Assume the samples are random and independent.