Suppose that a regression model has been estimated, and the 95% confidence interval for B1 is found to be (11.23, 17.37). Which of the following statements is correct? Select one: O a. None of the other answers are correct. O b. With a probability of 95%, \( \beta_1 \) lies inside the confidence interval. O c. We cannot assign a probability to the event that \( \beta_1 \) lies inside that interval. O d. With a probability of 5%, \( \beta_1 \) is greater than 17.37. O e. For any value \( c \) outside of the confidence interval, we can reject at the 5% level of significance the null hypothesis that \( \beta_1= c \), against a one-sided alternative.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Suppose that a regression model has been estimated, and the 95% confidence interval for B1 is found to be (11.23, 17.37).
Which of the following statements is correct?
Select one:
a. None of the other answers are correct.
O b. With a probability of 95%, \(\beta_1 \) lies inside the confidence interval.
c. We cannot assign a probability to the event that \( \beta_1 \) lies inside that interval.
O d. With a probability of 5%, \(\beta_1 \) is greater than 17.37.
O e. For any value \( c \) outside of the confidence interval, we can reject at the 5% level of significance the null hypothesis that \(
\beta_1= c \), against a one-sided alternative.
Transcribed Image Text:Suppose that a regression model has been estimated, and the 95% confidence interval for B1 is found to be (11.23, 17.37). Which of the following statements is correct? Select one: a. None of the other answers are correct. O b. With a probability of 95%, \(\beta_1 \) lies inside the confidence interval. c. We cannot assign a probability to the event that \( \beta_1 \) lies inside that interval. O d. With a probability of 5%, \(\beta_1 \) is greater than 17.37. O e. For any value \( c \) outside of the confidence interval, we can reject at the 5% level of significance the null hypothesis that \( \beta_1= c \), against a one-sided alternative.
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