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. a. What are null hypothesis and alternative hypothesis?

b. What is the test statistic and p-value?

c. Does they reject null hypothesis or fail to reject null hypothesis?