WHAT IS Z ? PART 2. A-F A simple random sample of front-seat occupants involved

Question

WHAT IS Z ?

PART 2.

A-F

A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2729 occupants not wearing seat belts, 27 were killed. Among 7792 occupants wearing seat belts, 15 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalites. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and altemative hypotheses for the hypothesis test? C. Ho:p1$ p2 H1 P1P2 F. Ho:P1=P2 D. Ho: p1 = p2 H1 PP2 Identify the test statistic. Round to two decimal places as needed.)

Explanation / Answer

Part - I:

The statistical software output for this problem is:

Two sample proportion summary 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
HA : p1 - p2 > 0

Hypothesis test results:

Hence,

z = 5.68

Part - 2:

a) Continuous

b) Continuous

c) Not a random variable

d) Discrete

e) Discrete

f) Discrete

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 27 2729 15 7792 0.0079686826 0.001402587 5.6814176 <0.0001

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