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

1. Yes, Micah's conclusion is correct because a higher percentage of college students can drive.
2. No, Micah's conclusion is incorrect because high school and college students show similar driving tendencies.
3. Yes, Micah's conclusion is correct based on the data provided.
4. No, Micah's conclusion is incorrect without additional information about the survey.

Answer 1

Micah's conclusion is incorrect because the proportion of students who can drive is the same (50%) in both high school and college student groups.

Step-by-step explanation:

No, Micah's conclusion is incorrect because although a larger number of college students surveyed said they could drive, the proportion of drivers in each group is what matters. In Micah's survey, we see that 15 out of 30 high school students can drive, which is 50% of the high school group. On the other hand, 30 out of 60 college students can drive, which also represents 50% of the college group. Therefore, there is no difference in the likelihood of being able to drive when comparing high school to college students based solely on these results.

To determine if there's an association between being a college student and the likelihood of driving, one must analyze the proportions rather than the raw numbers. This is a key concept in statistics when comparing different population sizes or sample sizes.