Cold and allergy medicines have been available for a number of years. One serious side effect of these medications is that they cause drowsiness, which makes them dangerous for industrial workers. In recent years, a non-drowsy cold and allergy medicine has been developed. One such product, Hismanal, is claimed by its manufacturer to be the first once-a-day non-drowsy allergy medicine. The non-drowsy part of the claim is based on a clinical experiment in which 1,604 patients were given Hismanal and 1,109 patients were given a placebo. Of the first group 7.1% reported drowsiness: of the second group, 6.4% reported drowsiness.

Do these results allow us to infer at the 5% significance level that Hismanal’s claim is false?