In a random sample of 100 Phoenix residents who drive a domestic car, 65 reporte

Question

In a random sample of 100 Phoenix residents who drive a domestic car, 65 reported wearing their seat belt regularly, while another sample of 200 Phoenix residents who drive a foreign car revealed 160 who regularly wore their seat belt. Perform a hypothesis test to determine if the proportion of foreign car drivers who wear their seatbelt is more than .15 higher than the proportion of domestic car drivers who wear their seatbelt. What is the p-value resulting from your test? 0.25 0.002 0.084 0.5 1 0.772

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0.15
HA : p1 - p2 > 0.15
Note: the standard error is calculated using separate estimates for the proportions

Hypothesis test results:

Hence,

p - value = 0.5

Option D is correct.

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 160 200 65 100 0.15 0.055452683 5.0052719e-16 0.5

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.