Researchers Hill and Barton used data collected on the results of 457 matches and found that the competitor wearing red won 248 times, whereas the competitor wearing blue won 209 times. We will carry out a simulation to assess whether or not the observed data provide evidence in support of the research conjecture. This simulation will employ the 3S strategy: Determine the statistic, simulate could-have-been outcomes of the statistic under the null model, and assess the strength of evidence against the null model by esti- mating the p-value or the standardized statistic. Required:
a. What is the statistic we will use? Calculate the observed value of the statistic in this study.
b. Describe how you could use a coin to develop a null distribution to test our hypothesis.
c. Use the One Proportion applet to test our hypothesis. Based on your simulation, find the p-value and write a conclusion. Also write down the mean and standard deviation