A university has recently set up a satellite department within a local college of higher education. The university claims that 35% of the undergraduate students are in department A, 26% are in department B, 25% are in department D, and 14% are in department D. A random sample of 320 students finds the following number of students in departments A–D: 132, 89, 64, and 35. Perform a hypothesis test at 5% to test this claim.