Hill and Barton (Nature, 2005) Conducted a Study to Investigate

Short Answer

Hill and Barton (Nature, 2005) conducted a study to investigate whether Olympic athletes in certain uniform colors have an advantage over their competitors. They noted that competitors in the combat sports of boxing, Taekwondo, Greco-Roman wrestling, and freestyle wrestling are randomly assigned to wear red or blue uniforms. For each match in the 2004 Olympics, they recorded the uniform color of the winner. Hill and Barton found that in the 457 matches, the competitor wearing red won 248 times (54.3%), whereas the person wearing blue won 209 times (45.7%).
-Below are the results of 1000 samples from a process with QUOTE = .50.
Using the 2SD method, construct a 95% confidence interval for the long-run proportion of matches where the competitor wearing red wins.
(______ (1), ______ (2))