Chapter 18, Problem 3P

1. In problem 9 in Chapter 17, we described a study demonstrating that the colored is often associated with male dominance. Hill and Barton (2005) monitored the outcome of four combat sports, (boxing Tae Kwon Do, Greco-Roman wrestling, and freestyle wrestling) during the 2004 Olympic Games and found that participants wearing red outfits won significantly more often than those wearing blue.
2. If athletes wearing red won 31 out of 50 matches is that sufficient to be significantly more than would be expected by chance? Use a two-tai led test with a = .05.
3. If 62 out of 100 wearing red won, is that enough to be significant using a two-tailed test with a =.05.
4. Note that the percentage of winning for red uniforms in part is identical to the percentage in part b (31/50= 62/100 = 62%) however, one is significant and the other is not. Explain why the two sample lead to different conclusions.

1. The color red is often associated with anger and male dominance. Based on this observation, Hil1 and Barton (2005) monitored the outcome of four combat sports (boxing, tae kwan do, Greco-Roman wrestling, and freestyle wrestling, during the 2004 Olympic games and found that participants wearing red outfits won significantly more often than those wearing blue.
2. In 50 wrestling matches involving red versus blue suppose that the red outfit won 31 times and lost 19 times. Is this sufficient to conclude that red wins significantly more than would be expected by chance? Test at the .05 level of significance.
b. In 100 matches, suppose red won 62 times and lost 38. Is this sufficient to conclude that red wins sig­ nificantly more than would be expected by chance? Again, use a = .05.

c. Note that the winning percentage for red uniforms in part a is identical to the percentage in part b (31/50=62/100=62%). Although the two samples have an identical winning percentage, one is significant and the other is not. Explain why the two samples lead to different conclusions.