logWage = B1 + B₂ educ + €, where . 1. logWage means the log of yearly wage measured in dollars. 2. educ means years of education (schooling) The regression output is given below: reg logwage educ Source | SS df MS Number of obs = 100 F(2, 97) = 97.20 Model 0.250000 1 .246632 Prob > F = 0.0000 Residual | 0.250000 98 .002537 R-squared = 0.5000 Adj R-squared 0.4900 Total | 20000.00 99 200.00 Root MSE = 0.0503 logwage | Coef. Std. Err. t P>|t| [95% Conf. Interval] educ _cons | 0.40000 5.00000 0.200000 2.00 0.050 0.0000000 0.800000 0.100000 10.00 0.000 4.8000000 5.200000 Question 5. The estimated confidence interval for ẞ2 at 95% confidence level is [0.00, 0.80]. Based on this estimate, which of the following statements is FALSE: (a) We can reject the hypothesis Ho: ẞ2 = 1 versus Ho: ẞ2 1 at 5% significant level. (b) The p-value for the hypothesis testing of Ho: ẞ2 (c) The estimate for 2 is the center of the interval. = 0.80 versus Ho ẞ2 0.80 is 5%. (d) We cannot reject the hypothesis Hoẞ2 = 0.1 versus Ho ẞ2 0.1 at 5% significant level. (e) The true parameter 32 lies in the interval [0.00, 0.80] with probability 95%.