For a given inference question, follow the following thought process: a) check if it is a mean or proportions question, b) check if it is a one sample or a two sample setup , c) check conditions, and d) pick appropriate formulae.

You also need to show your work (formula setup, calculations, etc.) and state any properties or rules you need to solve the problems. Be sure to show all 4 steps of hypothesis testing and please be sure to check conditions wherever needed.

Two methods of removing kidney stones are being compared to assess if one method is more effective than the other. The first method is the traditional method which was found effective in 78 out of 100 randomly selected cases. The second method is a new minimally invasive surgery that was successful at removing kidney stones in 289 of 350 randomly selected patients. Conduct the appropriate hypothesis test to see if the new procedure is more successful than the traditional one? Use =.01.