In the United States approximately 900 people die in bicycle accidents each year. One study examined the
- In the United States approximately 900 people die in bicycle accidents each year. One study examined the record of 1711 bicyclists age 15 or older who were fatally injured in bicycle accidents between 1987 and 1991 and were tested for alcohol. Of these 542 tested positive for alcohol (blood alcohol concentration of 0.01% or higher).
- Summarize the data with appropriate descriptive statistics.
- To do statistical inference for these data, we think in terms of a model where p is a parameter that represents that a rider test positive for alcohol. Find a 95% confidence interval for p.
- Test the claim that p = 0.25. Report the z value and its p-value. Is your result significant at 0.05% level? Is your result significant at 0.10%?
- Can you conclude from your statistical analysis of this study that alcohol causes fatal bicycle accidents?
- A clinical trial examined the effectiveness of aspirin in the treatment of cerebral ischemia (stroke). Patients were randomized into treatment and control groups. The study was double-blind in the sense that neither the patients nor the physicians who evaluate the patients knew which patients received aspirin and which the placebo tablet. After 6 months of treatment, the attending physicians evaluated each patient’s progress as either favorable or unfavorable. Of the 78 patients in the aspirin group, 63 had favorable outcomes, 43 of the 77 control patients had favorable outcomes.
- Compute the sample proportions of patients having favorable outcomes in the two groups
- Give a 95% confidence interval for the difference between favorable proportions in the treatment and control group?
- The physicians conducting the study had concluded from previous research that aspirin was likely to increase the chance of favorable outcome. Carry out a significance test to confirm this conclusion. State hypothesis, find the p-value and write a summary of your results.
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