Question

Some pharmaceutical companies suggest there are health benefits to taking low doses of aspirin daily. Medical researchers monitoring two independent groups of physicians over a 6-yer period found that, of 3429 doctors (group 1) who took aspirin daily, 148 died from a heart attack or stroke during this period. For 1710 doctors (group 2) who received a placebo instead of aspirin, 79 deaths were recorded. Test whether the proportion of deaths due to heart attack or stroke is lower for those taking aspirin compared to placebo.   Test at the 1% significance level.

1. What is the null hypothesis?
2. What is the alternative hypothesis?
3. What is the critical value of the z statistic?
4. What is the test statistic (a.k.a. calculated value of the z statistic)?
5. What decision can be drawn from the test? Fail to reject the null hypothesis or Reject the null hypothesis.
6. What conclusion can be drawn from the test? Aspirin is likely not more effective than placebo or Aspirin is likely more effective than placebo.

Answer 1

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