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
icon
Related questions
Question
**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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman