Problem 2 Hypothesis Testing Suppose you are interested in the effect of neighborhood crime incidents on high school graduation rates. You run the following regression model: Graduation; ßo+ß₁Crime; +ɛ¿ = You would like to test whether the neighborhood crime incidents have a statistically significant effect on high school graduation rate at the 5% level of significance (α = 0.05). You estimate the model and find that B₁ = -0.04 and se (B₁) = 0.008. a. Write down the null hypothesis and alternative hypothesis. (4 points) b. Calculate thet statistic of B₁. (5 points) C. What is the critical value of thet statistic for the 5% level of significance? (2 points) d. Calculate the 95% confidence interval for the coefficient on Crime? (6 points) e. Based on your answers to the questions b, c, and d, do you reject or fail to reject the null hypothesis you defined in question a? Justify your answer. (5 points) Λ f. Isẞ₁ statistically significant at the 5% level? (3 points)

Problem 2 Hypothesis Testing Suppose you are interested in the effect of neighborhood crime incidents on high school graduation rates. You run the following regression model: Graduation; ßo+ß₁Crime; +ɛ¿ = You would like to test whether the neighborhood crime incidents have a statistically significant effect on high school graduation rate at the 5% level of significance (α = 0.05). You estimate the model and find that B₁ = -0.04 and se (B₁) = 0.008. a. Write down the null hypothesis and alternative hypothesis. (4 points) b. Calculate thet statistic of B₁. (5 points) C. What is the critical value of thet statistic for the 5% level of significance? (2 points) d. Calculate the 95% confidence interval for the coefficient on Crime? (6 points) e. Based on your answers to the questions b, c, and d, do you reject or fail to reject the null hypothesis you defined in question a? Justify your answer. (5 points) Λ f. Isẞ₁ statistically significant at the 5% level? (3 points)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter4A: Problems In Applying The Linear Regression Model

Section: Chapter Questions

Problem 2E

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