To evaluate the policy of routine vaccination of infants for whooping cough, adverse reactions were monitored in 340 infants who received their first injection of the vaccine. Reactions were noted in 68 of the infants.

(a)Find the lower bound for the 95% confidence interval for the true probability of an adverse reaction to the vaccine.

(b)Find the upperbound for the 95% confidence interval for the true probability of an adverse reaction to the vaccine.