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%).
-Are conditions met to use theory-based methods?
A) Yes, because there were two possible outcomes.
B) Yes, since the number of matches is larger than 30.
C) Yes, since the number of matches where the competitor wearing red won, and the number of matches where the competitor wearing blue won, are both greater than 10.
D) No, since the sample size is too small.

Question

Quizplus · Accepted Answer

Theory-based methods can be used because both groups (red and blue) have more than 10 wins, satisfying the condition for using normal approximation in hypothesis testing.

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