A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2716 occupants not wearing seat belts, 30 were killed. Among 7862 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. OA. Ho: P1 2 P2 O B. Ho: P1 = pP2 H1:P1 P2 H1: P1 # P2 OD. Ho: P1 SP2 H1: P1 # P2 O E. Ho: P1 #P2 H1: P1 = P2 OF. Ho: P1 = P2 H1: P, +P2 Identify the test statistic. (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? V the significance level of a =0.05, so V the null hypothesis. There V sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts. The P-value is b. Test the claim by constructing an appropriate confidence interval. The appropriate confidence interval is< (P1 -P2)
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2716 occupants not wearing seat belts, 30 were killed. Among 7862 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. OA. Ho: P1 2 P2 O B. Ho: P1 = pP2 H1:P1 P2 H1: P1 # P2 OD. Ho: P1 SP2 H1: P1 # P2 O E. Ho: P1 #P2 H1: P1 = P2 OF. Ho: P1 = P2 H1: P, +P2 Identify the test statistic. (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? V the significance level of a =0.05, so V the null hypothesis. There V sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts. The P-value is b. Test the claim by constructing an appropriate confidence interval. The appropriate confidence interval is< (P1 -P2)
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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![**Transcription and Explanation for Educational Use**
**Overview:**
A study is conducted using a simple random sample of front-seat occupants involved in car crashes. Among 2716 occupants not wearing seat belts, 30 were killed. Among 7862 occupants wearing seat belts, 20 were killed. The objective is to use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities.
**Hypothesis Options:**
- **A.** \( H_0: p_1 \geq p_2 \)
\( H_1: p_1 < p_2 \)
- **B.** \( H_0: p_1 = p_2 \)
\( H_1: p_1 < p_2 \)
- **C.** \( H_0: p_1 = p_2 \)
\( H_1: p_1 > p_2 \)
- **D.** \( H_0: p_1 \leq p_2 \)
\( H_1: p_1 > p_2 \)
- **E.** \( H_0: p_1 \neq p_2 \)
\( H_1: p_1 = p_2 \)
- **F.** \( H_0: p_1 = p_2 \)
\( H_1: p_1 \neq p_2 \)
**Tasks:**
- **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.)
**Hypothesis Conclusion:**
- What is the conclusion based on the hypothesis test?
- The P-value is \_\_\_\_ the significance level of \( \alpha = 0.05 \), so \_\_\_\_ the null hypothesis. There \_\_\_\_ sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts.
**Confidence Interval Construction:**
- **Construct and Identify the Confidence Interval:**
The appropriate confidence interval is \((p_1 - p_2)\) = \((\_\_\_, \_\_\_)\)
(Round to three decimal places as](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa951095b-8fe2-4ec9-81e0-5c7669f4ee38%2F22063053-a6e1-4b1e-83e9-06e506ece2b7%2Feykp8sg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription and Explanation for Educational Use**
**Overview:**
A study is conducted using a simple random sample of front-seat occupants involved in car crashes. Among 2716 occupants not wearing seat belts, 30 were killed. Among 7862 occupants wearing seat belts, 20 were killed. The objective is to use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities.
**Hypothesis Options:**
- **A.** \( H_0: p_1 \geq p_2 \)
\( H_1: p_1 < p_2 \)
- **B.** \( H_0: p_1 = p_2 \)
\( H_1: p_1 < p_2 \)
- **C.** \( H_0: p_1 = p_2 \)
\( H_1: p_1 > p_2 \)
- **D.** \( H_0: p_1 \leq p_2 \)
\( H_1: p_1 > p_2 \)
- **E.** \( H_0: p_1 \neq p_2 \)
\( H_1: p_1 = p_2 \)
- **F.** \( H_0: p_1 = p_2 \)
\( H_1: p_1 \neq p_2 \)
**Tasks:**
- **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.)
**Hypothesis Conclusion:**
- What is the conclusion based on the hypothesis test?
- The P-value is \_\_\_\_ the significance level of \( \alpha = 0.05 \), so \_\_\_\_ the null hypothesis. There \_\_\_\_ sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts.
**Confidence Interval Construction:**
- **Construct and Identify the Confidence Interval:**
The appropriate confidence interval is \((p_1 - p_2)\) = \((\_\_\_, \_\_\_)\)
(Round to three decimal places as
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