The following table represents the number of students registered for a specific course at various universities.
University Number of Students
A 880
B 540
C 720
D 460
A sample size of 260 students must be drawn from this population of students. If a proportional random sample is taken from each strata, give the relevant sub-sample size for University D.
46
88
54
72
49
The relevant sub-sample size for University D can be calculated by taking the proportion of students from University D in the total population and multiplying it by the total sample size.
Number of students from University D = 460
Total number of students = 880 + 540 + 720 + 460 = 2600
Proportion of students from University D = 460/2600 = 0.177
Sub-sample size for University D = 0.177 * 260 = 46
Therefore, the sub-sample size for University D is 46.
So the correct answer is 46.