5. A student reads that a 95% condence interval for the proportion of incoming freshmen at highly competitive University who were valedictorians to their high school graduating class is given by (0.24, 0.29) based on a random sample of incoming freshmen. Asked to explain the meaning of this interval, the student says. \"Between 24% and 29% of all incoming freshmen at Highly Competitive University were valedictorians. Is the student right? Justify your answer.