A depаrtment chаir wаnted tо knоw if Smith’s students tend tо perform better than Jones’s on a pass/fail final exam. Of Smith’s 57 students, 49 passed. Of Jones’s 75 students, 51 passed. Let p_Smith denote the proportion of Smith's students who passed, and p_Jones denote the proportion of Jones's students who passed. Construct and interpret a 95% confidence interval for the difference between the two proportions (p_Smith - p_Jones).