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Researchers have reported that the incidence rate of cataracts may be elevated among people with excessive expo-sure to sunlight. To confirm this, a pilot study is conducted among 200 people ages 65-69 who report an excessive tendency to burn on exposure to sunlight. Of the 200 people, 4 develop cataracts over a 1 -year period. Suppose the expected incidence rate of cataracts among 65- to 69-year- olds is 1 % over a 1 -year period.
The researchers decide to extend the study to a 5-year period and find that 20 of the 200 people develop a cataract over a 5-year period. Suppose the expected incidence of cataracts among 65- to 69-year-olds in the general population is 5% over a 5-year period.
Test the hypothesis that the 5-year incidence rate of cataracts is different in the excessive-sunlight-exposure group compared with the general population, and report a p-value (two-sided).
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