4. (50pts) Using 14,752 observations on college graduates in the March 2013 Current Population Survey, the following regression results are obtained where log(Earnings) denotes the natural logarithm of hourly earnings (in dollars) and the standard errors are reported in parentheses. log(Earnings); = 2.811 + 0.0096Age; R2 = 0.034 (0.018) (0.0004) (a) Test the null hypothesis that the slope parameter is zero using a test with a 1% significance level (5pts). What do you conclude from your test about the relationship between Age and log(Earnings)? (5pts)