T critical和T statistic有点疑问

问题如下：

Allen does the regression analysis to analyze the relationship between X and Y，and gets that the t-statistic for X is 2.8793. If the n is 102，which of the following statements is least likely correct？

选项：

The estimated X coefficient is statistically significant at the 0.1 level.

The estimated X coefficient is not statistically significant at the 0.1 level.

The estimated X coefficient is statistically significant at the 0.05 level.

解释：

B is correct.

考点: Regression Coefficient: T-test.

解析:通过查T分布表可知，当df=100时， α =5%的情况下分界点等于1.984； α =10%的情况下分界点等于1.660。这两个值均小于t-statistic，即2.8793，所以说the estimated X coefficient is statistically significant both at the 0.1 level and 0.05 level，A和C正确。这道题要求选择是描述错误的一项，所以应该选择B选项。