Before a new drug is put on the market it is necessary to determine if there are adverse effects that must be addressed. In a recent study 734 persons were given the new drug for two weeks. 51 of...

Before a new drug is put on the market it is necessary to determine if there are adverse effects that must be addressed. In a recent study 734 persons were given the new drug for two weeks. 51 of these persons reported headaches as an adverse effect. An additional 725 persons were given a placebo. Among the placebo group, 14 persons reported headaches as an adverse effect. Do the data support the claim that the proportion of persons reporting adverse effects is the same for both groups?