for patients needing an aortic-valve replacement there are two commonly used approaches traditional survey and a new method called transcatheter aortic-valve replacement (TAVR) researchers wanted to know if the new TVAR method produces better outcomes so they randomly assigned patients to the two approaches and then recorded the number of patients who had negative outcomes (death, stroke, or rehospitalization) of the 454 patients assigned to undergo traditional surgery 68 had negative outcomes of the 496 patients assigned to the TAVR method only 42 had negative outcomes construct a 95% confidence interval for the difference (surgery-TAVR) in the true proportion of the patients like the ones in this study who would have negative outcomes after undergoing traditional surgery and the true proportion who would have negative outcomes identify which if any of the conditions for the appropriate inference procedure have been met: 1. the sample sizes are large enough 2. the number of successes and failures in the surgery and TAVR samples/groups are all at least 10 3. the population proportion is normally distributed 4. the data come from independent random samples obtained from two populations of interest 5. the data comes from two groups in a randomized experiment