Researchers randomly divided 800 volunteers into two equal-sized groups. One group spent 6 months on the paleo diet. A control group received a pamphlet about controlling portion sizes. During the study, the paleo group lost on average 7 pounds (standard deviation of 20 pounds) while the control group lost on average 6 pounds (standard deviation of 12 pounds). Calculate the approximate p-value assessing if the paleo group achieves greater weight reduction than the control group.