In a study involving 400 different companies, the relationship between total corporate earnings ($Y_i$) and the average tenure of experience for each worker ($X_i$) is modeled using the following regression equation: $Y_i = \beta_1 + \beta_2 * X_i + \epsilon_i$ where $i$ ranges from 1 to 400. The goal of the research is to test the joint null hypothesis that both $\beta_1 = 0$ and $\beta_2 = 0$ at a 95% confidence level. The p-value derived from the t-statistic for $\beta_1$ is 0.07, the p-value for the t-statistic for $\beta_2$ is 0.06, and the p-value from the F-statistic for the overall model is 0.045.