Math Problem Statement

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 2064 passenger cars in a particular​ region, 222 had only rear license plates. Among 340 commercial​ trucks, 50 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 0.10 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. Question content area bottom Part 1 a. Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger carspassenger cars and population 2 correspond to the commercial truckscommercial trucks. Let a success be a vehicle that only has a rear license plate. A. Upper H 0H0​: p 1p1less than<p 2p2 Upper H 1H1​: p 1p1equals=p 2p2 B. Upper H 0H0​: p 1p1equals=p 2p2 Upper H 1H1​: p 1p1greater than>p 2p2 C. Upper H 0H0​: p 1p1equals=p 2p2 Upper H 1H1​: p 1p1not equals≠p 2p2 D. Upper H 0H0​: p 1p1equals=p 2p2 Upper H 1H1​: p 1p1less than<p 2p2 Your answer is correct. Part 2 Identify the test statistic. enter your response here ​(Round to two decimal places as​ needed.)

Solution

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Math Problem Analysis

Mathematical Concepts

Hypothesis Testing
Proportions
Z-test

Formulas

Z-test for two proportions

Theorems

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Suitable Grade Level

College