A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2726 occupants not wearing seat belts, 39 were killed. Among 7852 occupants wearing seat belts, 19 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? C. Ho: P1 =P2 H1: P> P2 O B. Ho: P1 = P2 O A. Ho: P1 =P2 H: P, #P2 H4: P1

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please help me also find the p value and what the conclusion would be. Thank you!

**Educational Website Content: Hypothesis Testing for Seat Belt Effectiveness**

**Scenario:**
A simple random sample of front-seat occupants involved in car crashes is analyzed. Among 2,726 occupants not wearing seat belts, 39 were killed. In contrast, among 7,852 occupants wearing seat belts, 19 were killed. We will use a 0.05 significance level to test the claim that seat belts effectively reduce fatalities. 

**Objective:**
To determine whether seat belts are effective in reducing fatalities using a hypothesis test.

**Hypothesis Test:**

Identify the null and alternative hypotheses for the test:
- Consider the first sample as the group not wearing seat belts.
- Consider the second sample as the group wearing seat belts.

**Options for Hypotheses:**

A. 
- Null Hypothesis (H0): \( p_1 = p_2 \)
- Alternative Hypothesis (H1): \( p_1 \neq p_2 \)

B. 
- Null Hypothesis (H0): \( p_1 = p_2 \)
- Alternative Hypothesis (H1): \( p_1 < p_2 \)

C. (Correct Answer)
- Null Hypothesis (H0): \( p_1 = p_2 \)
- Alternative Hypothesis (H1): \( p_1 > p_2 \)

D. 
- Null Hypothesis (H0): \( p_1 \geq p_2 \)
- Alternative Hypothesis (H1): \( p_1 \neq p_2 \)

E. 
- Null Hypothesis (H0): \( p_1 \neq p_2 \)
- Alternative Hypothesis (H1): \( p_1 = p_2 \)

F.
- Null Hypothesis (H0): \( p_1 \leq p_2 \)
- Alternative Hypothesis (H1): \( p_1 \neq p_2 \)

**Analysis:**
- The chosen hypothesis (Option C) tests whether the proportion of fatalities is higher for those not wearing seat belts (\( p_1 \)) than for those wearing seat belts (\( p_2 \)).

**Test Statistic:**
- Calculate the z-value using the given data.
- **z = [Input field for calculation]** (Round to two decimal places as needed.)

This structured format will guide learners in understanding the hypothesis testing process, specifically relating to the
Transcribed Image Text:**Educational Website Content: Hypothesis Testing for Seat Belt Effectiveness** **Scenario:** A simple random sample of front-seat occupants involved in car crashes is analyzed. Among 2,726 occupants not wearing seat belts, 39 were killed. In contrast, among 7,852 occupants wearing seat belts, 19 were killed. We will use a 0.05 significance level to test the claim that seat belts effectively reduce fatalities. **Objective:** To determine whether seat belts are effective in reducing fatalities using a hypothesis test. **Hypothesis Test:** Identify the null and alternative hypotheses for the test: - Consider the first sample as the group not wearing seat belts. - Consider the second sample as the group wearing seat belts. **Options for Hypotheses:** A. - Null Hypothesis (H0): \( p_1 = p_2 \) - Alternative Hypothesis (H1): \( p_1 \neq p_2 \) B. - Null Hypothesis (H0): \( p_1 = p_2 \) - Alternative Hypothesis (H1): \( p_1 < p_2 \) C. (Correct Answer) - Null Hypothesis (H0): \( p_1 = p_2 \) - Alternative Hypothesis (H1): \( p_1 > p_2 \) D. - Null Hypothesis (H0): \( p_1 \geq p_2 \) - Alternative Hypothesis (H1): \( p_1 \neq p_2 \) E. - Null Hypothesis (H0): \( p_1 \neq p_2 \) - Alternative Hypothesis (H1): \( p_1 = p_2 \) F. - Null Hypothesis (H0): \( p_1 \leq p_2 \) - Alternative Hypothesis (H1): \( p_1 \neq p_2 \) **Analysis:** - The chosen hypothesis (Option C) tests whether the proportion of fatalities is higher for those not wearing seat belts (\( p_1 \)) than for those wearing seat belts (\( p_2 \)). **Test Statistic:** - Calculate the z-value using the given data. - **z = [Input field for calculation]** (Round to two decimal places as needed.) This structured format will guide learners in understanding the hypothesis testing process, specifically relating to the
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