Question: Interpret the given confidence interval.

The U.S. Department of Labor and Statistics wanted to compare the results of an unemployment program for the past two months in the U.S. Suppose the proportion of the unemployed two months ago is p₂ and the proportion of the unemployed one month ago is p₁. A study found a 99% confidence interval for p₂ - p₁ is (-0.0012, 0.003). Give an interpretation of this confidence interval.