A pharmacotherapy specialist is interpreting a published paper describing a randomized controlled, double-bling study that was conducted to evaluate the effects of antihistamines on the failure rate of treatment of otitis media in children. In the study, 250 children received antihistamines and 264 did not. All children received appropriate antibiotic therapy. Treatment failures occurred in four (1.6%) of the children who received antihistamines and in 13 (4.9%) of those who did not. The difference is statistically significant (p<0.05, chi-square). Which of the following statements about these result is appropriate?