2. In the United States, mothers who live in poverty generally have babies with lower birthweight than those who do not live in poverty. The average birthweight for women living in poverty is 2800 grams. Recently, a local hospital introduced an innovative new prenatal care program to reduce the number of low birthweight babies born in the hospital. In the first year, 100 mothers, all of whom live in poverty, participated in this program. Data drawn from hospital records reveals that the babies born to these 100 women had a birthweight of 2975 grams, with a standard deviation of 700 grams. The question posed by researchers is whether this program has been effective at improving (increas- ing) the birth weights of babies born to women living in poverty. Assume a = 5% significance level. Conduct a one sample t-test for this situation. Write the null and alternative hypothesis, compute the test statistic, find the p-value, and make a conclusion.