-A random sample of 250 undergraduate students from a large university was found

Question

-A random sample of 250 undergraduate students from a large university was found to contain 66 freshmen, 64 sophomores, 63 juniors, and 57 seniors.

(a) What proportion of undergraduate students are freshmen?

(b) What is the risk of being a sophomore?

-A random sample of 100 freshman showed 10 had satisfed the university mathematics requirement and a second random sample of 50 sophomores showed that 13 had satisfied the university mathematics requirement.

Enter answers below rounded to three decimal places.

(a) The relative risk of having satisfied the university mathematics requirement for sophomores as compared to freshmen is ___

(b) The increased risk of having satisfied the university mathematics requirement for sophomores as compared to freshmen is ___

Explanation / Answer

1. (a) The proportion of undergraduate students who are freshmen = 66/250 = 0.264

(b) The risk of being a sophomore = 64/250 = 0.256

2. (a) The risk of having satisfied the university mathematics requirement for sophomores = 13/50 = 0.26

The risk of having satisfied the university mathematics requirement for freshmen = 10/100 = 0.1

The relative risk for sophomores = 0.26/0.1 = 2.6

(b) The increased risk for sophomores = 0.26 - 0.1 = 0.16.

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