Question

v. math of finance sem a- a
g and safety data
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.
based on the data, which age group is most likely to use a navigation system?
under 30
over 50
30–50
usage equal across all age groups

Explanation:

Step1: Calculate the proportion for each age group

For "Under 30": The number of drivers who use navigation is 200, and the total number of drivers in this age group is 500. So the proportion is $\frac{200}{500} = 0.4$.
For "30–50": The number of drivers who use navigation is 400, and the total number of drivers in this age group is 500. So the proportion is $\frac{400}{500} = 0.8$.
For "Over 50": The number of drivers who use navigation is 150, and the total number of drivers in this age group is 500. So the proportion is $\frac{150}{500} = 0.3$.

Step2: Compare the proportions

We compare the three proportions: 0.4 (Under 30), 0.8 (30–50), and 0.3 (Over 50). Since 0.8 is the largest, the age group "30–50" has the highest proportion of drivers who use a navigation system.

Answer:

30–50