Flonase is a nasal allergy treatment; like all drugs, it has side effects. Before approving it, the company (GlaxoSmithKline) performs a number of experiments to determine the drug’s side effects. In one such experiment, a random sample of 1,707 volunteers was drawn. Of these, 167 were given a 100-mcg dose once a day (1), 782 were given 200 mcg daily (2), and the remaining 758 were given a placebo spray once a day (3). Each person reported whether he or she had any side effects and, if so, which was the most serious. The following data were recorded.

1. Headache

2. Pharyngitis (sore throat)

3. Epistaxis (nosebleed)

4. Other side effect

5. No side effect

Do these data allow us to infer that there are differences in side effects between the three groups of volunteers?