Consider a Multinomial Experiment Involving 100 Trials and 4 Categories

question 82

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.
H₁ ;At least two proportions differ from their specified values.

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Definitions:

N-butyl Iodide

An organic compound with the chemical formula CH3(CH2)3I, used in organic synthesis.

Carbocation

A positively charged ion (cation) in which the charge is on a carbon atom, often an intermediate in organic reactions.

Carbanion

An organic ion in which a carbon atom has three bonds and bears a negative charge, often an intermediate in organic reactions.

Free Radical

Highly reactive atoms or molecules with unpaired electrons, involved in a variety of chemical processes including polymerization and combustion.