A candidate for political office wants to determine if there is a dif- ference in his popularity between men and women. For this, he collects a sample of 250 men and 250 women and records if they vote for him in the upcoming election. Of those sampled, 105 of the men and 128 of the women plan on voting for the candidate. Based on these data, construct a 95% confidence interval to compare the popularity between men and women. Justify your answer clearly.