Question

reasoning about an association between varia
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: \(\frac{15}{30} = 0.5\).

Step2: Calculate college driving probability

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

Step3: Compare probabilities

Both probabilities are \(0.5\), so college students are not more likely to drive.

Answer:

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