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Consider a Multinomial Experiment Involving 100 Trials and 4 Categories

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Essay

Consider a multinomial experiment involving 100 trials and 4 categories (cells). The observed frequencies resulting from the experiment are shown in the accompanying table.  Category 1234 Frequency 18302527\begin{array} { | l | c | c | c | c | } \hline \text { Category } & 1 & 2 & 3 & 4 \\\hline \text { Frequency } & 18 & 30 & 25 & 27 \\\hline\end{array} Use the 5% significance level to test the hypotheses.
H0 : p1 = 0.25, p2 = 0.30, p3 = 0.20, p4 = 0.25.
H1 ;At least two proportions differ from their specified values.


Definitions:

Client's Frustration

Emotional dissatisfaction experienced by clients, often due to unmet expectations or perceived lack of progress or attention.

Mistrust

The lack of trust or confidence in something or someone, often arising from suspicions or negative experiences.

Desirable Principles

Fundamental values or ideals that are sought after for their intrinsic goodness and are considered beneficial for governance or conduct.

Consumes Time

The process of requiring or using up an amount of time for completion or execution.

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