A phase three clinical trial testing a new sleeping pill has 1347 participants. If all these individuals are from the group of individuals who were given the medication and 620 individuals who received the medication experienced drug-induced mental impairment, construct a 95% confidence interval for the true proportion of individuals on the medication who experienced drug-induced mental impairment.

a) (.452, .468)

b) (.451, .469)

c) (.448, .472)

d) (.450, .470)