Erythropoietin (EPO) is a banned drug used by athletes to increase
the oxygen-carrying capacity of their blood. New tests for EPO were
first introduced prior to the 2000 Olympic Games held in Sydney,
Australia. Chance (Spring 2004) reported that of a sample of 830
world-class athletes, 159 did not compete in the 1999 World
Championships (a year prior to the new EPO test). Similarly, 133 of
825 potential athletes did not compete in the 2000 Olympic Games.
Was the new test effective in deterring an athlete's participation
in the 2000 Olympics? If so, then the proportion of
nonparticipating athletes in 2000 will be greater than the
proportion of nonparticipating athletes in 1999. Use a 98%
confidence interval to compare the two proportions