A mail order company is investigating the potential advantages of using a new heavy-duty packaging material. They shipped 1000 orders in the new packaging and another 1000 orders in the regular light packaging. Of the orders shipped in the regular packaging, 32 were damaged in shipment, and of orders shipped in the new packaging, only 15 were damaged in shipment. Find a 95% confidence interval for the difference between the proportions of damaged shipments.