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[All Steps] In a recent study of 22,000 male physicians, half were given regular doses of aspirin while the other half were given placebos. The study ran

Question: In a recent study of 22,000 male physicians, half were given regular doses of aspirin while the other half were given placebos. The study ran for six years at a cost of 144 million. Among those who took the aspirin, 104 suffered heart attacks. Among those who took the placebos, 189 suffered heart attacks.

  1. What are the null and alternative hypotheses for this study? To receive full credit you must write those claims both symbolically AND in English.
  2. What is the critical value if \(\alpha \) = 0.01?
  3. What is the z-value based on the sample?
  4. Do these results show a statistically significant decrease in heart attacks among the sample who took aspirin?

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