The Medco pharmaceutical company has just developed a new antibiotic. Two percent of children taking competing antibiotics experience a headache as a side effect. A researcher for the Food and Drug Administration believes that the proportion of children taking the new antibiotic who experience a headache as a side effect is more than 0.02. We know the null hypothesis is \(H_{0}: p=0.02\) and the alternative hypothesis is \(H_{1}: p>0.02\).

Suppose that the sample evidence indicates that

(a) the null hypothesis is rejected. State the conclusion.

(b) the null hypothesis is not rejected. State the conclusion.