Question: From a simple random serological sample of 1000 runners selected from 10,000 who completed the 2007 Chicago Marathon, 35 were found to be positive for

From a simple random serological sample of 1000 runners selected from 10,000 who completed the 2007 Chicago Marathon, 35 were found to be positive for steroids and other performance-enhancing drugs. When categorized by completion time, the results were as follows:

Completion Time (h)

Under 2.5 2.5-4.0 Over 4.0

a. What is the standard error of the estimated proportion positive?

b. From inspection (without making calculations) of the rates given above, would you feel that stratification may have resulted in a substantially better estimate? Why or why not?

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