A manufacturer turns out a product item that is labeled either “defective” or “not defective.” In order to estimate the proportion defective, a random sample of 100 items is taken from production, and 10 are found to be defective. Following implementation of a quality improvement program, the experiment is conducted again. A new sample of 100 is taken, and this time only 6 are found to be defective. 

(a) Give a 95% confidence interval on p₁ − p₂, where p₁ is the population proportion defective before improvement and p₂ is the proportion defective after improvement. 

(b) Is there information in the confidence interval found in (a) that would suggest that p₁ > p₂? Explain.