For each problem below, state/compute the null hypothesis, the alternative hypothesis, the test statistic, the test (in the form \"the test rejects Hg if ...\"), and the pvalue. Determine whether we accept or reject the hypothesis based on both approaches: via the test itself and Via the pvalue. Compute each numerical value to two digits after the decimal point. 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 Ho). 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