a new toothpaste is supposed to keep cavities of children in a certain age group no more than 3 times per year on average (treated as h0). cavities per year for this age group are normal with standard deviation 1. a study of 2500 children who used this toothpaste found an average of 3.05 cavities per child. do these data, at the 1 percent level of significance, contradict the claimed function of the toothpaste?
