A Multinomial Experiment With $k = 3$ Cells And $n = 30$

question 46

Essay

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

Distances

The amount of space between two points, which can be measured in various units such as kilometers, miles, meters, or feet, important for logistics and planning.

Minimum Cost

The lowest possible expense incurred in the production or acquisition of goods or services without compromising quality.

Shipping Solution

A system or service that simplifies the process of sending goods from one place to another.

Objective Function

A mathematical expression that defines the goal of an optimization problem, often involving the maximization or minimization of some quantity.