he test yielded a t-value of 3.34 with a corresponding p-value of 0.001. Which of the following is the correct interpretation of the p-value? If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. B) If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. c) If the null hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. D) If the null hypothesis is true, the probability of observing a test statistic of 3.34 is 0.001. E) If the null hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer's credit risk and that of an independent rating agency. The company collected a random sample of
200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim.
Но : В, — 0
Ha : B1 + 0
The test yielded a t-value of 3.34 with a corresponding p-value of 0.001. Which of the following is the correct interpretation of the p-value?
A
If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.
If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001.
C
If the null hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001.
If the null hypothesis is true, the probability of observing a test statistic of 3.34 is 0.001.
E
If the null hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.
Transcribed Image Text:A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer's credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim. Но : В, — 0 Ha : B1 + 0 The test yielded a t-value of 3.34 with a corresponding p-value of 0.001. Which of the following is the correct interpretation of the p-value? A If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. C If the null hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. If the null hypothesis is true, the probability of observing a test statistic of 3.34 is 0.001. E If the null hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.
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