Setup: Sometimes ink cartridges for copy machines tend to dry up. A new system for producing ink cartridges is being considered so that it will take longer for the ink inside to dry up. A sample of 315 ink cartridges is made with the new production system, and 296 had ink that lasted longer before drying up. There is interest in a 98.2% confidence interval. We use R to analyze this information and obtain the following results: 1-sample proportions test without continuity correction data: 296 out of 315, null probability 0.5 X-squared = 243.58, df = 1, p-value < 2.2e-16 alternative hypothesis: true p is not equal to 0.5 98.2 percent confidence interval: 0.8996308 0.9643846 sample estimates: p 0.9396825 Questions: (a) State the 98.2% confidence interval based on the results provided. (b) What is the parameter your confidence interval is for? (Examples: , p, etc.) (c) Suppose the existing system for manufacturing ink cartridges has the proportion of ink cartridges that do not dry up so fast as p = 0.67. Based on your confidence interval, would you conclude that the new system is better than the existing system? Why or why not