A car retailer wanted to see if there is a linear relationship between overall mileage and the suggested retail price of a car. The retailer collected data on 18 cars of a similar type selected at random and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim. H0:β1=0 Ha:β1≠0 The test yielded a t-value of 2.186 with a corresponding p-value of 0.044. Which of the following is the correct interpretation of the p-value? A. If there is a linear relationship between overall mileage and the suggested retail price of a car, the probability of observing a test statistic at least as extreme as 2.186 is 0.044. B. If there is not a linear relationship between overall mileage and the suggested retail price of a car, the probability of observing a test statistic at least as extreme as 2.186 is 0.044. C. If there is not a linear relationship between overall mileage and the suggested retail price of a car, the probability of observing a test statistic of 2.186 or greater is 0.044. D. If there is not a linear relationship between overall mileage and the suggested retail price of a car, the probability of observing a test statistic of 2.186 is 0.044. E. If there is a linear relationship between overall mileage and the suggested retail price of a car, the probability of observing a test statistic of 2.186 or greater is 0.044.
A car retailer wanted to see if there is a linear relationship between overall mileage and the suggested retail price of a car. The retailer collected data on 18 cars of a similar type selected at random and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim.
H0:β1=0
Ha:β1≠0
The test yielded a t-value of 2.186 with a corresponding p-value of 0.044. Which of the following is the correct interpretation of the p-value?
A. If there is a linear relationship between overall mileage and the suggested retail price of a car, the probability of observing a test statistic at least as extreme as 2.186 is 0.044.
B. If there is not a linear relationship between overall mileage and the suggested retail price of a car, the probability of observing a test statistic at least as extreme as 2.186 is 0.044.
C. If there is not a linear relationship between overall mileage and the suggested retail price of a car, the probability of observing a test statistic of 2.186 or greater is 0.044.
D. If there is not a linear relationship between overall mileage and the suggested retail price of a car, the probability of observing a test statistic of 2.186 is 0.044.
E. If there is a linear relationship between overall mileage and the suggested retail price of a car, the probability of observing a test statistic of 2.186 or greater is 0.044.
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