While playing a game of chance, Mei rolled a regular six-sided die 100 times and noticed that it landed on the number 4 exactly 48 times. What could Mei conclude about the die?
- We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.398 and 0.562. Since this includes 0.5, the die appears to be fair.
- We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.398 and 0.562. Since this is much greater than 1 out of 6, the die appears to be unfair.
- We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.382 and 0.578. Since this is much greater than 1 out of 6, the die appears to be unfair.
- We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.382 and 0.578. Since this includes 0.5, the die appears to be fair.