people with chronic kidney disease require hemodialysis, where their blood is passed through a machine that does the work of their kidneys. unfortunately blood clots can form around the connection to the machine and cause problems if they then lodge elsewhere in the body. a study of the effect of aspiring in helping reduce the formation of blood clots involved 44 subjects undergoing dialysis. of the 19 people receiving aspirin, 6 developed blood clots; of the 25 people receiving placebo 18 developed blood clots.
perform a hypothesis test to determine if there is a reduction in the rate of blood clots with aspirin. include a statement of and , the test statistic and its distribution under .