statistics

Absenteeism of college students from math classes is a major concern to math instructors because missing class appears to increase the drop rate. Suppose that a study was done to determine if the actual student absenteeism rate follows faculty perception. The faculty estimate the percent of students who would miss class out of a certain number of absences. Number of absences Estimated Percent Expected number of Observed number of by student students students 0-2 50% 3-5 30% 6-8 12% 9+ 8% A random survey (160 students) across all mathematics courses was then done to determine the actual number (observed) of absences for each category: 0-2: 60, 3-5: 55, 6-8: 30, 9+: 15 For the population of students, do the number of students' absences agree with the faculty perception? Test with a significance level of 0.05