In the United States, mothers who live in poverty generally have babies with lower birthweight than those who do not live in poverty. The mean birthweight for babies born in the U. S. to mothers living in poverty is approximately 2800 grams. The CDC carries out a study to test the effectiveness of a new prenatal care program increasing the weight of babies born into poverty. For the study, 30 mothers, all of whom live in poverty, participate in the program and birthweight data is recorded. Which hypothesis test would be most appropriate for this study?

One sample z-test, why? One sample t-test, why? Paired-samples t-test, why?