Lecture | Mathematical Statistics

| Decision | ( H_0 ) True | ( H_0 ) False | |----------|--------------|----------------| | Reject ( H_0 ) | Type I error (prob ( \alpha )) | Correct | | Fail to reject ( H_0 ) | Correct | Type II error (prob ( \beta )) |

The distribution of a statistic (over repeated sampling) is its . This is the key to inference. mathematical statistics lecture