In: Statistics and Probability
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 338 of 2453 vaccinated children had ear infections, compared to 504 of 2455 unvaccinated children. Complete parts b) through c) below.
B.) 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 ear infections, p1 - p2 (Do not round until the final answer. Then round to one decimal place as needed.)
C.) Use your confidence interval to explain whether you think the vaccine is effective.