the game settlers of catain is a game of expansions and resource collection. To collect resources players roll two die and use the sum of the die to detrmine which resources they should pick up. In playing this game, it is inevitable that people complain that the die aren't fair. From n=298, the follwoing empricial data were obtained

The game Settlers of Catan is a game of expansion and resource collection. To collect resources players roll two die and use the sum of the die to determine which resource they should pick up. In playing this game, it is inevitable that people complain that the die aren't fair. From n = 298 rolls of the die, the following empirical data were obtained: Sum of die 2 3 4 5 7 9 10 11 12 Number of times rolled A 18 23 32 30 49 34 39 37 21 15 In order for the die to be fair, the probability of observing each sum should be Sum of die 2 3 5 6 B 9 10 11 12 Probability 1/36 2/36 3/36 4/36 5/36 8/36 6/36 4/36 3/36 2/36 1/36 At the 5% significance level, do the observed data provide sufficient evidence to conclude that the die in question are not fair