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 knowing that a person is in college means they are more likely to drive. Is Micah’s conclusion correct? Explain.

Answer 1

To determine whether Micah's conclusion is correct, we need to analyze the data provided.

1. High School Students:

   • 15 can drive
   • 15 cannot drive
   • This gives a total of 30 high school students, and the proportion of high school students who can drive is \( \frac{15}{30} = 0.5 \) or 50%.

2. College Students:

   • 30 can drive
   • 30 cannot drive
   • This gives a total of 60 college students, and the proportion of college students who can drive is \( \frac{30}{60} = 0.5 \) or 50%.

When we compare the proportions of students who can drive from each group, we find that both high school and college students have the same driving capability percentage of 50%.

Micah’s conclusion that knowing a person is in college means they are more likely to drive is incorrect; in fact, the likelihood of being able to drive is the same for both high school and college students based on the surveyed data.

Thus, Micah's assumption does not hold up against the evidence presented.