A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2876 occupants not wearing seat belts, 38 were killed. Among 7646 occupants wearing seat belts, 20 were killed. Use a 0.05 significance leve the claim that seat belts are effective in reducing fatalities. 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 alternative hypotheses for the hypothesis test? O A. Hg: P1 * P2 H:P = P2 O B. Ho: P1 2 P2 H: P * P2 OC. Ho: P1 SP2 H,: P, P2 O D. Ho: P1 = P2 H,: P, #P2 O E. Ho: P1 = P2 H: P,> P2 OF. Ho: P1 =P2 H4: P,

A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2876 occupants not wearing seat belts, 38 were killed. Among 7646 occupants wearing seat belts, 20 were killed. Use a 0.05 significance leve the claim that seat belts are effective in reducing fatalities. 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 alternative hypotheses for the hypothesis test? O A. Hg: P1 * P2 H:P = P2 O B. Ho: P1 2 P2 H: P * P2 OC. Ho: P1 SP2 H,: P, P2 O D. Ho: P1 = P2 H,: P, #P2 O E. Ho: P1 = P2 H: P,> P2 OF. Ho: P1 =P2 H4: P,

Name: **Question:** What do the results suggest about the effectiveness of
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Description: **Question:** What do the results suggest about the effectiveness of seat belts?- **A.** The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts.- **B.** The results suggest that the use of s

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2876 occupants not wearing seat belts, 38 were killed. Among 7646 occupants wearing seat belts, 20 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. 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 alternative hypotheses for the hypothesis test?

Options:
- A. $ H_0: p_1 \neq p_2 $ ; $ H_1: p_1 = p_2 $
- B. $ H_0: p_1 \geq p_2 $ ; $ H_1: p_1 \neq p_2 $
- C. $ H_0: p_1 \leq p_2 $ ; $ H_1: p_1 \neq p_2 $
- D. $ H_0: p_1 = p_2 $ ; $ H_1: p_1 \neq p_2 $
- E. $ H_0: p_1 = p_2 $ ; $ H_1: p_1 > p_2 $
- F. $ H_0: p_1 = p_2 $ ; $ H_1: p_1 < p_2 $

Identify the test statistic:
\[ z = \, \]
(Round to two decimal places as needed.)

Identify the P-value:
P-value = \,
(Round to three decimal places as needed.)

What is the conclusion based on the hypothesis test?
The P-value is $\text{[ ]}$ the significance level of $\alpha = 0.05$, so $\text{[ ]}$ the null hypothesis. There $\text{[ ]}$ sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts.

b. Test the claim by constructing an appropriate confidence interval.

The appropriate confidence interval is $ \text{[ ]} < (p_1 - p_2) < \text{[ ]} $
(Round to three decimal places as needed.)

What

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