In: Statistics and Probability
Treating circulatory disease: Angioplasty is a medical procedure in which an obstructed blood vessel is widened. In some cases, a wire mesh tube, called a stent, is placed in the vessel to help it remain open. A study was conducted to compare the effectiveness of a bare metal stent with one that has been coated with a drug designed to prevent reblocking of the vessel. A total of 5326 patients received bare metal stents, and of these, 842 needed treatment for reblocking within a year. A total of 1123 received drug-coated stents, and 148 of them required treatment within a year. Can you conclude that the proportion of patients who needed retreatment differs between those who received bare metal stents and those who received drug-coated stents? Let p1 denote the proportion of patients with bare metal stents who needed retreatment and p2 denote the proportion of patients with drug-coated stents who needed retreatment. Use the α=0.05 level of significance and the P-value method with the TI-84 Plus calculator.
(a) State the appropriate null and alternate hypotheses.
b) p-value
c) reject or not
d) conclusion