I am new in this community. I hope you can help me out.

For my master thesis, I have a dataset of 6043 observations. This observations contain the spread differential (delta) of matched securities (I compare one corporate bond with a Green corporate bond of the same issuer)

What I want to investigate is, whether there is a significance in delta >= 0 (H_0) vs. delta < 0 (H_1)

Therefore I ran two tests on this datas.

1. one sample one tailed t-test

2. Wilcoxon test

The results (run by R) show that 1.) H_1 is true and 2.) H_0 is true.

Now, I am kind of frustrated, since i have two different outcomes of my hypothesis.

What are your opinions?

Best Regards,

Emre