The p=value you shown is for two-taile.

There is a P-value calculator at:  http://easycalculation.com/statistics/p-value-t-test.php

From above link you can find
P(t=1.72, df=37) = 0.093788  for two-taile
                          = 0.046894  for one-taile   (reject at p=0.05 level for one-tailed hypothesis)


There is a t-value calculator at:  http://www.danielsoper.com/statcalc3/calc.aspx?id=10

From this link you can find
t-critical(p=0.05, df=37) = 1.687     for one-taile (right tail) (if t > 1.687 then reject)
                                   = +/- 2.026 for two-taile

不知对不对.

What is your research hypothesis, one-tail or two-tail? What is your alpha? It seems to me that you have a one taiil test and your test statistic is 1.72, which falls in the rejection region if your alpha is set as 0.05. In this case, you should reject the null hypothesis. I guess that p value of 0.0943 was calculated assuming the research hypothesis as a two-tail test (It depends on your software.You gotta consult your software help document). If you set it as a two-tail test with alpha=0.10, since 0.0943< 0.1, you still can reject the null hypothesis.

难道输出中没有明确是双边还是单边？再详细看看输出吧

是双边的，突然反应过来sas出来的表格都是默认双边的，问下sas code里应该怎么写入单边测试呢 ？拜谢

常見的軟件(如SPSS及SAS)通常都顯示雙側(尾)的P值。如果要進行單側檢定(右側檢定)，就將P值除以2即可。
0.0943 / 2 = 0.04715 < 0.05。

如果是左側檢定，則應是1 - P/2 = 1 - (0.0943 / 2) = 0.95285 > 0.05

如果軟件上顯著的是單側P值(常是右側檢定，如Minitab, Systat，或是SPSS迴歸分析中的相關係數)，而要進行雙側檢定，則將P乘上2。

總之，單(右)側P*2 = 雙側P
         雙側P/2 = 右側P
         1-雙側P/2 = 左側P