Many people who bought X-Game gaming systems over the holidays have complained that the systems they purchased were defective. In a sample of 1200 units sold, 18 units were defective.
a. Determine a 95% confidence interval for the percentage of defective systems. 0.00812 to 0.02188
b. If 1.5 million X-Games were sold over the holidays, determine an interval for the number of defectives in sales. 12,184 to 32,816.