A new vaccine was tested to see if it could prevent the ear infections that many infants suffer from. Babies about a year old were randomly divided into two groups. One group receivedvaccinations, and the other did not. The following year, only 331 of 2456 vaccinated children had ear infections, compared to 499 of 2448 unvaccinated children.
Let ^p1 be the sample proportion of success in the unvaccinated group, and let ^p2 be the sample proportion of success in the vaccinated group. Find the 95% confidence interval for the difference in rates of earinfection,
p1−p2.
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