Question

g Problem 7. (10 points) A random sample of 100 Cooper County residents showed that 18 are college graduates and a second random sample of 50 Boone County residents showed that 28 are college graduates. Round your final answer to each part to three decimal places, but do not round during intermediate steps. The relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is

Answer 1

Answer:

The relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is 3.11.

Step-by-step explanation:

Denote the events as follows:

C = Cooper County resident

B = Boone County resident

G = graduate

NG = non-graduate

The information provided is summarized as follows:

               G       NG     Total

     C       18       82       100

     B       28      22        50

Total       46      104      150

Compute the relative risk of being a college graduate for Boone County residents as compared to Cooper County residents as follows:

$\text{Relative Risk}=\frac{\text{Graduates in Boone County}}{\text{Graduates in Cooper County}}$

                      $=\frac{28/50}{18/100}\\\\=\frac{28}{50}\times \frac{100}{18}\\\\=3.11111\\\\\approx 3.11$

Thus, the relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is 3.11.