Confidence Region and Not-reject Region

Either Confidence Interval (CI) or Null Hypothesis Significance Test (NHST) has the same business, to advise whether some sample is or is not disliked by some hypothesized parameter . manages a database. For each Miss , NHST spies out all she dislikes. Mr X logs in and inputs a girl name and his credit card number, to bet his luck whispering-- Does she dislike me? manages a database too. For each Mr X, CI only needs his credit card with his name X on it, then serves him a full list of available girls. has been historically monopolizing the market. Nevertheless, somebody prefer visiting and find that the two may share database in most cases.

Not-reject Region of is defined as .

Confidence Region of x is defined as .


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