One-sided or two?
a. Suppose you want to see if competitors wearing red win more than 50% of the matches in the long run, so you test H₀: π = 0.50 versus H_a: π > 0.50. What is your p-value based on the above null distribution?
b. Suppose you now want to see if competitors wearing either red or blue have an advantage, so you test H₀: π = 0.50 versus H_a: π ≠ 0.50. What is your p value now based on the above null distribution?