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Construct the 95% confidence interval for the given problem

In August 1976, Tuberculosis was diagnosed in a high school student (INDEX CASE) in Corinth Mississippi. Subsequent laboratory studies revealed that the student's disease was caught by drug resistant tubercule bacilli. An epidemiologic investigation was conducted at the high school.

The following table gives the rates of positive tuberculin reaction, determined for various groups of students according to degree of exposure to the index case.

Exposure level

Number tested

Number positive

High

129

63

Low

325

36

Estimate the 95 percent confidence interval for the rate of positive tuberculin reaction separately for each of the two subpopulation, those with high exposure and those with low exposure.

Statistics and Probability, Statistics

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