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two-way table scenario the table categorizes drivers into age groups (u…

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 groupuses navigation (yes)does not use navigation (no)total
30–50400100500
over 50150350500
total7507501,500

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

Explanation:

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)

Answer:

30 - 50