In: Statistics and Probability
A historian examining British colonial records for the Gold Coast in Africa suspects that the death rate was higher among African miners than among European miners. In the year 1936, there were 223 deaths among 33,809 African miners and 7 deaths among 1541 European miners on the Gold Coast. Calculate an appropriate 99% confidence interval for the difference between the proportion of African miners who died and the proportion of European miners who died. What is the lower bound of your confidence interval?