Ear infections A new vaccine was recently tested to see if it could prevent the painful and recurrent ear infections that many infants suffer from. The Lancet, a medical journal, reported a study in which babies about a year old were randomly divided into two groups. One group received vaccinations; the other did not. During the following year, only 333 of 2455 vaccinated children had ear infections, compared to 499 of 2452 unvaccinated children in the control group. a) Are the conditions for inference satisfied? b) Find a 95% confidence interval for the difference in rates of ear infection. c) Use your confidence interval to explain whether you think the vaccine is effective.

Chapter 2 Notes • Deviation—Given a value y and a data point x then x-‐y represents how far x deviates from y. o Ex. Given x=10 and y=5. 10 deviates by 5 from 5. • Bar Charts—Display where the length of a bar corresponds to the frequency or number of observations in a category • Pie Charts—Slice is proportional to the amount in each category • Relative Frequency—The proportion and is calculated by relative frequency= # in the class/