Asked by riley rajewski on Jun 14, 2024
Verified
A group of 2000 individuals from 3 different cities were asked whether they owned a foreign or a domestic car.The following table shows the results of the survey. 
At α = .01 using the p-value approach, test to determine if the type of car purchased is independent of the city in which the purchasers live.
P-Value Approach
A statistical method that helps in determining the significance of results, indicating the probability of observing the results given that the null hypothesis is true.
Type of Car
Categorizations of automobiles based on factors such as body style, size, and usage.
Purchasers
Individuals or entities that buy goods or services from a seller.
- Find and action the correct statistical strategy for specified data situations (assessment of fit, check of independence, and analysis across multiple proportions).
- Achieve proficiency in understanding the p-value concept in hypothesis testing and its implications for the test's decision.
- Establish null and alternative hypotheses for statistical inquiry.
Verified Answer
IS
Ishmael SamuelJun 19, 2024
Final Answer :
χ2 = 135; p-value is almost zero; thus, reject H0 and conclude that the type of car purchased is not independent of the city.Critical value is 9.210.
Learning Objectives
- Find and action the correct statistical strategy for specified data situations (assessment of fit, check of independence, and analysis across multiple proportions).
- Achieve proficiency in understanding the p-value concept in hypothesis testing and its implications for the test's decision.
- Establish null and alternative hypotheses for statistical inquiry.
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