A soda manfacurarer typical sales of soft drinks are 50% diet coke, 30% coke, and 20% sprite. After a new markteting campign, they conducted three random samples with 250 soft drinks consumers:

Sample 1: 130of the 250 consumers chose diet coke

sample 2: 67.5 of the 250 consumers chose coke

sample 3: 52.5 of the 250 consumers chose sprite

Construct a 90% confidnce itnerval for the difference between the proportions of diet coke and coke