Definition

A statistical hypothesis is a statement or proposition about a population parameter (not about the sample).

Examples

Correct examples (they refer to the population):

  • πœ‡>2 β†’ β€œthe population mean is greater than 2”.
  • πœŽβ‰€4 β†’ β€œthe population standard deviation is at most 4”.

Incorrect examples (they refer to the sample):

  • π‘₯>2 (sample mean).
  • 𝑆≀4 (sample standard deviation).