Of all students enrolled at a large undergraduate university ...

     Of all students   enrolled at a large undergraduate university, 63% are seniors, 12% are   juniors, 14% are sophomores and 11% are freshmen.    A sample of 450 students taken from this   university by the student senate to conduct a survey includes 227 seniors, 85   juniors, 85 sophomores, and 53 freshmen.    Using the 2.5% significance level, test   the null hypothesis that this sample is a random sample.   HINT:  (this sample is a random   sample if it includes approximately 63% seniors, 12% juniors, 14 % sophomores   and 11% freshmen.)   Round your answers to three decimal   points