For the Following Estimated Slope Coefficients and Their Heteroskedasticity Robust $H _ { 0 } : \beta _ { 1 } = 0$

question 44

Essay

For the following estimated slope coefficients and their heteroskedasticity robust standard errors, find the t -statistics for the null hypothesis $H _ { 0 } : \beta _ { 1 } = 0$ Assuming that your sample has more than 100 observations, indicate whether or not you are able to reject the null hypothesis at the 10 %, 5 % , and 1 % level of a one-sided and two-sided hypothesis.
(a) $\hat { \beta } _ { 1 } = 4.2 , S E \left( \hat { \beta } _ { 1 } \right) = 2.4$
(b) $\hat { \beta } _ { 1 } = 0.5 , S E \left( \hat { \beta } _ { 1 } \right) = 0.37$
(c) $\hat { \beta } _ { 1 } = 0.003 , S E \left( \hat { \beta } _ { 1 } \right) = 0.002$
(d) $\hat { \beta } _ { 1 } = 360 , S E \left( \hat { \beta } _ { 1 } \right) = 300$

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