A Multinomial Experiment With $k = 3$ Cells And $n = 100$

question 23

Essay

A multinomial experiment with $k = 3$ cells and $n = 100$ has been conducted and the results are shown in the table.
$\begin{array}{l}\quad\quad\text { Cell }\\\begin{array} { c | c c c } & 1 & 2 & 3 \\\hline n _ { i } & 46 & 32 & 22\end{array}\end{array}$
Construct a 99% confidence interval for the multinomial probability associated with cell 2.

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Definitions:

Witness

An individual who gives testimony or is called to testify in court because they have knowledge relevant to the case being tried.

Settlor

A settlor is the person who creates a trust by transferring assets into it, setting the terms and electing trustees to manage the trust assets for the benefit of the beneficiaries.

Creates

Refers to the act of bringing something into existence or producing something through a process.

Trust

A fiduciary arrangement that allows a third party, or trustee, to hold assets on behalf of a beneficiary or beneficiaries.