A Multinomial Experiment with K = 3 Cells and N $\quad$

question 44

Essay

A multinomial experiment with k = 3 cells and n =30 has been conducted and the results are shown in the table. $\quad$ $\quad$ $\quad$$\text {Cell}$
$\begin{array}{l|ccc} & 1 & 2 & 3 \\\hline n_{i} & 16 & 12 & 2\end{array}$

Explain why the sample size is not large enough to test whether $p _ { 1 } = .55 , p _ { 2 } = .40$ , and $p _ { 3 } = .05$ .

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Definitions:

Military Coup

An illegal and sudden overthrow of a government by the military or a part of the armed forces, often resulting in a change of political power.

Totalitarian System

A political system in which the state holds total authority over society and seeks to control all aspects of public and private life.

State-controlled Security

Security and protection services provided and regulated by the government to ensure public safety and national defense.

Legitimate Force

The rightful or justifiable use of power or strength, often by a governing body or law enforcement, to maintain order or enforce laws.