The Head Start Program provides a wide range of services to low-income children up to the age of 5 and their families. Its goals are to provide services to improve social and learning skills and improve health and nutrition status so that the participants can begin school on an equal footing with their more advantaged peers. The distribution of ages for participating children is as follows: 4% five-year-olds, 52% four-year-olds, 34% three-year-olds, and 10% under three years. When the program was assessed in a particular region, it was found that of the 200 participants, 12 were 5 years old, 95 were 4 years old, 80 were 3 years old, and 13 were under 3 years. Is there sufficient evidence at a 0.05 level that the proportions differ from that of the program? Use the P-value method. Use a graphing calculator.
Source: New York Times Almanac /www.fedstats.dhhs.gov