(Solved): Treating circulatory disease: Angioplasty is a medical procedure in which an obstructed blood vess ...

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 5319 patients received bare metal stents, and of these, 839 needed treatment for rebing within a year. A total of 1113 received drug-coated stents, and 138 of them required treatment within a year. Can you conclude that the proportion of patients who needed retreatment is less for those who received drug-coated stents? Let \( p_{1} \) denote the proportion of patients with bare metal stents who needed retreatment and \( p_{2} \) denote the proportion of patients with drug-coated stents who needed retreatment. Use the \( \alpha=0.10 \) level of significance and the \( P \)-value method with the TI-84 Plus calculator. Part 1 of 4 State the appropriate null and alternate hypotheses. \( H_{0} \) : \( H_{1}: \) This hypothesis test is a test. Part 2 of 4 Find the \( P \)-value. Round the answer to at least four decimal places. \( P \)-value \( = \) Part 3 of 4 Determine whether to reject \( H_{0} \). the null hypothesis \( H_{0} \). Part: \( 3 / 4 \) Part 4 of 4 State a conclusion. There enough evidence to conclude that the proportion of patients who needed retreatment is less for those who received drug-coated stents.