in a survey, 15 high school students said they could drive and 15 said they could not. out of 60 college…

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.

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.

Answer

Answer:

No, Micah's conclusion is not correct.

Explanation:

Step1: Calculate high - school driving probability

The total number of high - school students is (15 + 15=30). The probability of a high - school student being able to drive is (P_{hs}=\frac{15}{30}=\frac{1}{2}).

Step2: Calculate college driving probability

The total number of college students is 60, and 30 can drive. So the probability of a college student being able to drive is (P_{c}=\frac{30}{60}=\frac{1}{2}).

Step3: Compare probabilities

Since (P_{hs}=\frac{1}{2}) and (P_{c}=\frac{1}{2}), the probability of a high - school student being able to drive is the same as the probability of a college student being able to drive. So Micah's conclusion is wrong.