A phase three clinical trial for a new medication proposed to treat depression has 1237 participants. If all these individuals are from the group of individuals who were given the medication and 650 individuals who received the medication experienced improvement in their symptoms of depression, construct a 90% confidence interval for the true proportion of individuals on the medication who experienced improvement in their symptoms of depression.

A) (.363, .417)

B) (.502, 0.549)

C) (.623, .651)

D) (.614, .660)

Please provide answer and explanation.