We are playing a game with my friend and trying to determine who is the better player.
The game has an luck element to it.
The current score is 9-7.
The following questions have risen:
1) How many games we should play to get statistically significant result that one is better than the other? We can assume p=9/16 or p=0,5 and something standard for z.
2) What can we infer from the current game score? We tried binomial proportion confidence interval (we used Wilson score, because N<30). Here are the results. Not sure how to interpret them.. does it mean that with 95%, the probability, at which the game score is 9-7, is within 34%-76%?