I am studying now Hypothesis Testing. I use for it book High-Yield Biostatistics, Epidemiology, and Public Health and videos of Brandon Foltz (recommending these videos for everyone, they are great!) from here https://www.youtube.com/channel/UCFrjdcImgcQVyFbK04MBEhA .
In High-Yield Biostatistics, Epidemiology, and Public Health author uses terms like Accept or Reject hypothesis. But Brandon Foltz in his video here says:
As researchers we either reject the null hypothesis or fail to reject the null hypothesis; we do not accept the null.
So, which terminology is more right way to talk about hypothesis: Accept and Reject or Reject and Fail to reject ?