Consider a Multinomial Experiment Involving 100 Trials and 3 Categories $$\begin{array} { | l | c c c | } \hline \text { Category } & 1 & 2 & 3 \\\hline \text { Frequency } & 38 & 35 & 27 \\\hline\end{array}$$

Essay

Consider a multinomial experiment involving 100 trials and 3 categories (cells).The observed frequencies resulting from the experiment are shown in the accompanying table.
$$\begin{array} { | l | c c c | } \hline \text { Category } & 1 & 2 & 3 \\\hline \text { Frequency } & 38 & 35 & 27 \\\hline\end{array}$$ Use the 5% significance level to test the hypotheses H₀: p₁ = .45,p₂ = .30,p₃ = .25 vs.H₁: At least one proportion differs from their specified values.