For You To Do 1. Explain why a hypothesis test would be needed to show whether the 52.8% win rate for the toss-winning team in the sample of games is really an advantage for that team (and not just the result of chance in that particular set of games). 2. Conduct a hypothesis test of whether the toss-winning team actually has an advantage in overtime by following these steps: a. Write null and alternative hypotheses. (Hint for writing hypotheses: if the coin toss doesn’t matter, what percent of the time would the team that randomly wins the coin toss go on to win the game? If the coin toss does matter, would they win more or less often than that?) b. For this problem, let your sample be all 163 games that had gone to overtime. What is the sample size n? What is the number of successes x? c. Find the p-value using either simulation or the normal approximation. Fill in this sentence to explain what the p-value means: If % of overtime games are won by the team that won the coin toss, then the probability of at least games out of ___ being won by the team that won the coin toss is %. d. Ata 0.05 significance level, do you reject or fail to reject the null hypothesis? e. What do you conclude in context? 3. Now repeat the steps from Question 2 again to conduct a hypothesis test based on the playoff sample of 11 games. What do you conclude here? 4. Based on your conclusions, do you agree with the article that there is a good argument for changing overtime e the coin t0SS? A v
