Question

Using SAS (also, please provide the syntax the output data)

In a study investigating mortality among teenage victims of motor vehicle accidents, information regarding the effectiveness of seatbelts was collected. In a sample of 250 teenagers who were wearing a seatbelt at the time of the accident, 15 died. In a sample of 125 teens who were not wearing a seatbelt, 17 died. We would like to test the null hypothesis that the proportions of teens who die as a result of the accident are identical in the two groups. Use the 6-step hypothesis testing procedure to answer this question. Use the six step hypothesis to solve the problem:

1. STEP 1: STATE THE APPROPRIATE NULL AND ALTERNATIVE HYPOTHESES
2. STEP 2: DEFINE THE CRITICAL REGION
3. STEP 3: COMPUTE THE APPROPRIATE TEST STATISTIC
4. STEP 4: STATE YOUR STATISTICAL DECISION
5. STEP 5: STATE YOUR PRACTICAL CONCLUSIOn
6. STEP 6: REPORT THE P-VALUE

Answer 1

1-wearing seatbelt at time of accident

2- were not wearing seatbelt

1)

Ho :p1 = p2

Ha: p1 p2

2)

for 95 %

z = 1.96

critical region

TS > 1.96 or TS < -1.96

3)

Z = -2.48

4)

we reject the null hypothesis as -2.48 < -1.96

5)

we conclude that there is difference in proportion

6)

P-Value = 0.013