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 2082 passenger cars in a particular region, 224 had only rear license plates. Among 346 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 passenger cars. Use a 0.01 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. a. 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. OA. Ho: P₁ P₂ H₁: P₁ P₂ OB. Ho: P₁ P₂ H₁: P₁ P₂ OC. Ho: P₁ P₂ H₁: P₁ P₂ OD. Ho: P₁ P₂ H₁: P₁ P₂ Identify the test statistic (Type an integer or a decimal. Round to two decimal places as needed.) Identify the P-value. (Type an integer or a decimal. Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Ho. There 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. Identify the confidence interval limits for the appropriate confidence interval. 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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 13CR
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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 2082 passenger cars in a particular region, 224 had
only rear license plates. Among 346 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 passenger cars. Use a 0.01 significance level to test that
hypothesis.
a. Test the claim using a hypothesis test.
b. Test the claim by constructing an appropriate confidence interval.
a. 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.
O A. Ho: P₁ = P2
H₁: P₁ P2
O B. Ho: P₁ <P₂
H₁: P₁ = P2
OC. Ho: P₁ P₂
H₁: P₁ P2
C
O D. Ho: P₁ = P2
H₁: P₁ P2
Identify the test statistic.
(Type an integer or a decimal. Round to two decimal places as needed.)
Identify the P-value.
(Type an integer or a decimal. Round to three decimal places as needed.)
State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.
Ho. There
▼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. Identify the confidence interval limits for the appropriate confidence interval. 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.
<P₁-P₂<
(Type integers or decimals. Round to three decimal places as needed.)
Because the confidence interval
of passenger cars.
0, there ▼a significant difference between the two proportions. There
▼sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners
GoCoLiving
Transcribed Image Text: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 2082 passenger cars in a particular region, 224 had only rear license plates. Among 346 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 passenger cars. Use a 0.01 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. a. 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. O A. Ho: P₁ = P2 H₁: P₁ P2 O B. Ho: P₁ <P₂ H₁: P₁ = P2 OC. Ho: P₁ P₂ H₁: P₁ P2 C O D. Ho: P₁ = P2 H₁: P₁ P2 Identify the test statistic. (Type an integer or a decimal. Round to two decimal places as needed.) Identify the P-value. (Type an integer or a decimal. Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Ho. There ▼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. Identify the confidence interval limits for the appropriate confidence interval. 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. <P₁-P₂< (Type integers or decimals. Round to three decimal places as needed.) Because the confidence interval of passenger cars. 0, there ▼a significant difference between the two proportions. There ▼sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners GoCoLiving
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