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sopho 4. An upper-level sociology class has 120 registered students: 34 seniors,

ID: 3331622 • Letter: S

Question

sopho 4. An upper-level sociology class has 120 registered students: 34 seniors, 57 juniors, 22 mores, and 7 freshmen. a. Imagine that you choose one random student from the classroom (perhaps by usin g a random number table). What is the probability that the student will be a junion? b. What is the probability that the student will be a freshman? c. If you are asked to select a proportionate stratified sample of size 30 from the classroom, stratified by class level (senior, junior, etc.), how many students from each group will there be in the sample?

Explanation / Answer

(a) Probability = 57/120 = 0.475

(b) Probability = 7/120 = 0.0583

(c) The ratio will be (30/120) * number of students in each category

Seniors: (1/4)(30) = 7.5, say 8

Juniors: (1/4)(57) = 14.25, say 14

Sophomores: (1/4)(22) = 5.5, say 6

Freshmen: (1/4)(7) = 1.75, say 2