Home-ground wins
Of 25 home games, 20 were wins. Of 75 away games, 55 were wins. Each game is an independent Bernoulli trial, with a probability that depends only on home or away. The two-sample test of equal win probabilities has p-value 0.2526.
State the hypotheses and the conclusion at level 0.05.
Worked answer (click to show)
H_0 is equal home and away win probabilities. H_1 is that they differ. The p-value 0.2526 does not reject equality at level 0.05. These games do not show a home-ground advantage.