Consider a Multinomial Experiment Involving 100 Trials and 4 Categories

question 51

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. $$\begin{array} { | l | c | c | c | c | } \hline \text { Category } & 1 & 2 & 3 & 4 \\\hline \text { Frequency } & 18 & 30 & 25 & 27 \\\hline\end{array}$$ Use the 5% significance level to test the hypotheses.
H₀: p₁ = 0.25, p₂ = 0.30, p₃ = 0.20, p4 = 0.25.
H_A:At least two proportions differ from their specified values.

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Definitions:

Gain

An increase in wealth, income, or value, often realized from investments or sales of assets.

Election

A decision made by taxpayers regarding the treatment of certain tax items, such as choosing a filing status or opting for a standard or itemized deduction.

Indirectly

In a manner not directly caused by or resulting from something.

Related Parties

Transactions between related parties are those that occur between individuals or entities that have a close association, leading to potential conflicts of interest or non-arm's length transactions.