One May Wish to Test Is Not True $H _ { 0 }$

question 9

Short Answer

One may wish to test $H _ { 0 } : p _ { 1 } = \theta ^ { 2 } , p _ { 2 } = 2 \theta ( 1 - \theta ) , p _ { 3 } = ( 1 - \theta ) ^ { 2 } \text { versus } H _ {\pm } : H _ { 0 }$ is not true. The null hypothesis is__________ hypothesis because knowing that $H _ { 0 }$ is true does not uniquely determine the cell probabilities and expected cell counts but only their general form.

---

Definitions:

Population

All members or elements under consideration in statistical studies make up this group.

Standard Error

A measure of the statistical accuracy of an estimate, calculated from the standard deviation of a sampling distribution.

Sample Size

The number of observations or replicates included in a statistical sample, crucial for the reliability and accuracy of the study or experiment.

Infinite Population

An idealized concept of a population so large that its size is not diminished by the sampling process.