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A state initiates a program to test anonymously for HIV infection among women giving birth in the state. Suppose during the first year of the

  1. A state initiates a program to test anonymously for HIV infection among women giving birth in the state. Suppose during the first year of the program that out of 5,000 tests, 3 are found to be HIV positive. Give a 95% confidence interval for the proportion of HIV infection in the underlying population of women [do it in rate/100,000].

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