272 CHAPTER 7 Hypothesis Testing: One-Sample Inference Ophthalmology Researchers have reported that the incidence rate of cata- racts 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 peo- ple, 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. *7.52 What test procedure can be used to compare the 1-year rate of cataracts in this population with that in the general population? *7.53 Implement the test procedure in Problem 7.52, and report a p-value (two-sided). The researchers decide to extend the study to a 5-year pe- riod 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 popula- tion is 5% over a 5-year period. *7.54 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). *7.55 Construct a 95% CI for the 5-year true rate of cata- racts among the excessive-sunlight-exposure group. TAB ID 1 23 6 7 Mec sd *4-y- 7.5 two 7.5 bas 7.5 inte an