1. Louis Pasteur had conducted a series of experiments that demonstrated the roles that yeast and bacteria play in the fermentation process. These results gave Joseph Lister, a British physician, the idea that human infections might have a similar organic origin. Lister developed a theory that using carbolic acid as a surgical room disinfectant would improve the postoperative survival rates for surgical patients. Out of the 40 patients amputated with the use of carbolic acid, 34 survived. Out of the 35 patients amputated without the use of carbolic acid, 19 survived.
a. What proportion of patients amputated with the use of carbolic acid survived? What proportion of patients amputated without the use of carbolic acid survived?
b. Test the claim that carbolic acid improved survival rates a using a 5% significance level.