Q3 Test the given claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and then state the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Among 2125 passengers cars in a particular region, 229 had only rear license plates. Among 326 commercial trucks, 47 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passengers cars. Use a 0.01 significance level to test that hypothesis. A. Identity the nulls and alternative hypotheses B. Identify the test statistic ( round to two decimal places as needed) C. Identify the p- values (round to two decimal places as needed ? State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. A. Fail to reject Ho. There is not sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. B. Reject Ho. There is sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. C. Fail to reject Ho. There is sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. D. Reject Ho. There is not sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

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Test the given claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and then state the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Among 2125 passengers cars in a particular region, 229 had only rear license plates. Among 326 commercial trucks, 47 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passengers cars. Use a 0.01 significance level to test that hypothesis. 

A. Identity the nulls and alternative hypotheses 

B. Identify the test statistic ( round to two decimal places as needed) 

C. Identify the p- values (round to two decimal places as needed ? 

State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.
 A. Fail to reject Ho. There is not sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a
higher rate than owners of passenger cars.
B. Reject Ho. There is sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than
owners of passenger cars.
C. Fail to reject Ho. There is sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher
rate than owners of passenger cars.
D. Reject Ho. There is not sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

 

### Identifying Null and Alternative Hypotheses for Proportion Tests

**Task:** Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate.

**Options:**

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

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

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

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

In this context, \( p_1 \) represents the proportion of passenger cars with only a rear license plate, and \( p_2 \) represents the proportion of commercial trucks with only a rear license plate.
Transcribed Image Text:### Identifying Null and Alternative Hypotheses for Proportion Tests **Task:** Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate. **Options:** - **A.** - Null Hypothesis (H₀): \( p_1 = p_2 \) - Alternative Hypothesis (H₁): \( p_1 > p_2 \) - **B.** - Null Hypothesis (H₀): \( p_1 = p_2 \) - Alternative Hypothesis (H₁): \( p_1 < p_2 \) - **C.** - Null Hypothesis (H₀): \( p_1 < p_2 \) - Alternative Hypothesis (H₁): \( p_1 = p_2 \) - **D.** - Null Hypothesis (H₀): \( p_1 = p_2 \) - Alternative Hypothesis (H₁): \( p_1 \neq p_2 \) In this context, \( p_1 \) represents the proportion of passenger cars with only a rear license plate, and \( p_2 \) represents the proportion of commercial trucks with only a rear license plate.
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