QuestionTreating 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 5330 patients received bare metal stents, and of these, 844 needed treatment for reblocking within a year. A total of 1122 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 $p_1$ 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 $\alpha = 0.05$ level of significance and the $P$-value method with the TI-84 Plus calculator.
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State the appropriate null and alternate hypotheses. $H_0$: $H_1$:
This hypothesis test is a (Choose one) test.