A teacher attempts to make a number cube unfair by drilling out the spots on one side and inserting lead weights. To determine if she was successful, she rolls the number cube 50 times and keeps track of the number of times she rolls a 1. She rolls a 1 15 times. She would like to know if the data provide convincing evidence that the proportion of rolls that will land on a 1 is greater than one-sixth. Are the conditions for inference met?