In the United States, mothers who live in poverty generally have babies with lower birthweight than women who do not live in poverty. The average birthweight for women living in poverty is 2800 grams, with a standard deviation of 500. Recently, a local hospital introduced an innovative prenatal care program to reduce the number of low birthweight babies born in the hospital. In the first year, 35 mothers, all of whom live in poverty, participated in this program. Program evaluators want to determine if the birthweight for infants of women who participated in the program is greater than the average birthweight for women who live in poverty. They choose an α of 0.05. The following data is the birthweight in grams for the babies born to the mothers who participated in this program. Use the provided information and data to run a one-sample z-test in Excel.
How would you write the null hypothesis?
a. H0: μ ≠ 2800
b. H0: μ > 2800
c. H0: μ = 2800
d. H0: μ < 2800