It has been reported that 20.4% of incoming freshmen indicate that they will major in business or a related field. A random sample of 400 incoming college freshmen was asked their preference, and 95...

It has been reported that 20.4% of incoming freshmen indicate that they will major in business or a related field.  A random sample of 400 incoming college freshmen was asked their preference, and 95 replied that they were considering business as a major.  Estimate the true proportion of freshman business majors with 98% confidence.  Does your interval contain 20.4?