Question

reasoning about an association between variables
in a survey, 15 high school students said they could drive and 15 said they could not. out of 60 college students surveyed, 30 said they could drive. micah concluded that if someone is in college, that means the person is more likely to drive. is micahs conclusion correct? explain.

Explanation:

Step1: Calculate high - school driving rate

The number of high - school students surveyed is \(15 + 15=30\). The number of high - school students who can drive is 15. So the proportion of high - school students who can drive is \(\frac{15}{30}=\frac{1}{2}=0.5\).

Step2: Calculate college driving rate

The number of college students surveyed is 60, and the number of college students who can drive is 30. So the proportion of college students who can drive is \(\frac{30}{60}=\frac{1}{2}=0.5\).

Answer:

Micah's conclusion is not correct. The proportion of high - school students who can drive (\(0.5\)) is the same as the proportion of college students who can drive (\(0.5\)). So, being in college does not make a person more likely to drive.