A study was conducted on how a certain nutritional supplement affects weight loss. The table and graph above show the weight \(w\), in pounds, of a single male subject \(t\) days after he began taking the supplement.

A research study was conducted to determine if a certain supplement is successful in promoting weight loss in women weighing more than 180 pounds. From a large population of women weighing more than 180 pounds, 500 participants were randomly selected. Half of the women were given the supplement, and the other half were given a placebo. The resulting data showed that women who received the actual supplement had lost significantly more weight than those who received the placebo. Based on the design and results of the study, which of the following is the most appropriate conclusion?