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

what can be inferred about the behavior of younger drivers (under 30) toward navigation system usage?

• their behavior is inconsistent.
• they prefer not to use navigation systems.
• they have the highest usage of navigation systems.
• they use navigation systems more than older drivers.

Explanation:

Step1: Analyze under 30 drivers

For under 30: Uses = 200, Does Not Use = 300. Total = 500.

Step2: Analyze 30 - 50 drivers

For 30 - 50: Uses = 400, Does Not Use = 100. Total = 500.

Step3: Analyze over 50 drivers

For over 50: Uses = 150, Does Not Use = 350. Total = 500.

Step4: Compare under 30 with others

Under 30 uses (200) < 30 - 50 (400), but under 30 uses (200) > over 50 (150). Also, under 30 does not use (300) > uses (200), so they prefer not to use? Wait, no: 300 (no) > 200 (yes), so more don't use. But compare with over 50: over 50 no is 350, yes 150. Under 30 no is 300, yes 200. So under 30 use more than over 50. But the option: "They prefer not to use navigation systems." Let's check counts: under 30, no (300) > yes (200), so more don't use. 30 - 50: yes (400) > no (100). Over 50: no (350) > yes (150). So under 30: no (300) > yes (200), so they prefer not to use? Wait, the options:

Option 1: inconsistent? No, counts are clear.

Option 2: They prefer not to use navigation systems. Because under 30: 300 don't use, 200 use. So more don't use. 30 - 50: more use. Over 50: more don't use. So under 30: more don't use, so prefer not? Wait, but let's check the numbers again. Under 30: uses = 200, does not use = 300. So 300 > 200, so more do not use. So the statement "They prefer not to use navigation systems" is correct? Wait, but another option: "They use navigation systems more than older drivers." Older drivers (over 50) use 150, under 30 use 200, so yes, under 30 use more than over 50 (older). But 30 - 50 is middle age, not older. Wait, the option says "older drivers" (over 50). So under 30 (200) > over 50 (150), so they use more than older drivers. But also, under 30: no (300) > yes (200), so prefer not? Wait, maybe I made a mistake. Let's re - evaluate:

Under 30: use (200), not use (300) → not use is more.

30 - 50: use (400), not use (100) → use is more.

Over 50: use (150), not use (350) → not use is more.

So under 30: not use (300) > use (200), so they prefer not to use (since more don't use). The option "They prefer not to use navigation systems" is correct because 300 (no) > 200 (yes), so a higher proportion (or count) don't use.

Wait, but the option "They use navigation systems more than older drivers." Older drivers (over 50) use 150, under 30 use 200, so yes, under 30 use more than over 50 (older). But the option "They prefer not to use..." is about their own preference: within their group, more don't use, so prefer not. Let's check the counts again:

Under 30:

Use: 200

Don't use: 300

So 300 > 200, so more don't use → prefer not to use.

30 - 50:

Use: 400

Don't use: 100 → more use.

Over 50:

Use: 150

Don't use: 350 → more don't use.

So under 30: more don't use, so the statement "They prefer not to use navigation systems" is correct.

Answer:

They prefer not to use navigation systems.