The Medco pharmaceutical company has just developed a new antibiotic. Among the competing antibiotics, 23% of children who take the drug experience headaches as a side effect. A researcher for the Food and Drug Administration wishes to know if the percentage of children taking the new antiobiotic who experience a headache as a side effect is more than 23%. They randomly sample 1250 children who have taken the antibiotic and find that 250 of them experience headaches