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 micah’s conclusion correct? explain.

Explanation:

Step1: Calculate high school driving probability

Total high school students: \(15 + 15 = 30\). Probability of driving: \(\frac{15}{30} = 0.5\) (or 50%).

Step2: Calculate college driving probability

Total college students: 60. Probability of driving: \(\frac{30}{60} = 0.5\) (or 50%).

Step3: Compare probabilities

Both groups have a 50% chance of driving. So Micah's conclusion is wrong as the likelihood is equal.

Answer:

Micah's conclusion is incorrect. The probability of a high school student being able to drive is \(\frac{15}{15 + 15}=0.5\) (50%), and for a college student, it is \(\frac{30}{60}=0.5\) (50%). Thus, college students are not more likely to drive than high school students.