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3. You estimate a simple linear regression model using a sample of 62 observations and obtain th following results (estimated standard errors in parentheses below coefficient estimates): y 97.25 +33.74" x (3.86) (9.42) You want to test the following hypothesis: He: B₂= 12, H1: B₂ #12. If you choose to reject the n hypothesis based on these results, what is the probability you have committed a Type 1 error? a.) between .05 and .10. b.) between .01 and .025 c.) between .02 and .05 d.) It is impossible to determine without knowing the true value of B₂ 4. Which of the following is not a component of a hypothesis test? a.) null hypothesis I b.) goodness-of-fit c.) test statistic d.) rejection region 5. Which of the following cannot be an alternative hypothesis? a.) = 0 b.) A 20 c.) B₂ > 0 d.) <0

3. You estimate a simple linear regression model using a sample of 62 observations and obtain th following results (estimated standard errors in parentheses below coefficient estimates): y 97.25 +33.74" x (3.86) (9.42) You want to test the following hypothesis: He: B₂= 12, H1: B₂ #12. If you choose to reject the n hypothesis based on these results, what is the probability you have committed a Type 1 error? a.) between .05 and .10. b.) between .01 and .025 c.) between .02 and .05 d.) It is impossible to determine without knowing the true value of B₂ 4. Which of the following is not a component of a hypothesis test? a.) null hypothesis I b.) goodness-of-fit c.) test statistic d.) rejection region 5. Which of the following cannot be an alternative hypothesis? a.) = 0 b.) A 20 c.) B₂ > 0 d.) <0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3. You estimate a simple linear regression model using a sample of 62 observations and obtain the following results (estimated standard errors in parentheses below coefficient estimates): y=97.25 +33.74" x (3.86) (9.42) You want to test the following hypothesis: Ho: B₂= 12, H1: B₂ *12. If you choose to reject the null hypothesis based on these results, what is the probability you have committed a Type 1 error? a.) between .05 and.101 b.) between .01 and .025 c.) between .02 and .05 d.) It is impossible to determine without knowing the true value of B₂ 4. Which of the following is not a component of a hypothesis test? a.) null hypothesis b.) goodness-of-fit c) test statistic I d.) rejection region 5. Which of the following cannot be an alternative hypothesis? a.) B = 0 b.) Bx #0 c) B₂ > 0 d.) <0 6. Rejecting a true null hypothesis a) is a Type I error. b.) is a Type II error. c.) should not happen if a valid statistical test is used. d.) depends on the size of the estimation sample. 7. For which alternative hypothesis do you reject Ho if it st (2-2)? a.) Bx = c b.) B c c.) Bx > C d.) B<c. 8. In which case would testing the null hypothesis involve a two-tailed statistical test? a) H₁: Incentive pay for teachers does affect student achievement b.) H₁: Higher sales tax rates does not reduce state tax revenues c) H₁: Extending the duration of unemployment benefits does not increase the length of joblessness d.) H₁: Smoking does not reduce life expectancy
Transcribed Image Text:3. You estimate a simple linear regression model using a sample of 62 observations and obtain the following results (estimated standard errors in parentheses below coefficient estimates): y=97.25 +33.74" x (3.86) (9.42) You want to test the following hypothesis: Ho: B₂= 12, H1: B₂ *12. If you choose to reject the null hypothesis based on these results, what is the probability you have committed a Type 1 error? a.) between .05 and.101 b.) between .01 and .025 c.) between .02 and .05 d.) It is impossible to determine without knowing the true value of B₂ 4. Which of the following is not a component of a hypothesis test? a.) null hypothesis b.) goodness-of-fit c) test statistic I d.) rejection region 5. Which of the following cannot be an alternative hypothesis? a.) B = 0 b.) Bx #0 c) B₂ > 0 d.) <0 6. Rejecting a true null hypothesis a) is a Type I error. b.) is a Type II error. c.) should not happen if a valid statistical test is used. d.) depends on the size of the estimation sample. 7. For which alternative hypothesis do you reject Ho if it st (2-2)? a.) Bx = c b.) B c c.) Bx > C d.) B<c. 8. In which case would testing the null hypothesis involve a two-tailed statistical test? a) H₁: Incentive pay for teachers does affect student achievement b.) H₁: Higher sales tax rates does not reduce state tax revenues c) H₁: Extending the duration of unemployment benefits does not increase the length of joblessness d.) H₁: Smoking does not reduce life expectancy
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