QUESTION IMAGE
Question
two-way table scenario
the table categorizes drivers into age groups (under 30, 30–50, over 50) and whether they regularly use a navigation system (yes, no). data in the table is based on a fictional dataset.
| age group | uses navigation (yes) | does not use navigation (no) | total |
|---|---|---|---|
| 30–50 | 400 | 100 | 500 |
| over 50 | 150 | 350 | 500 |
| total | 750 | 750 | 1,500 |
based on the data, which age group is most likely to use a navigation system?
- 30–50
- usage equal across all age groups
- over 50
- under 30
Step1: Calculate probability for Under 30
Probability = $\frac{200}{500} = 0.4$
Step2: Calculate probability for 30 - 50
Probability = $\frac{400}{500} = 0.8$
Step3: Calculate probability for Over 50
Probability = $\frac{150}{500} = 0.3$
Step4: Compare probabilities
0.8 (30 - 50) > 0.4 (Under 30) > 0.3 (Over 50)
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