Consider a Multinomial Experiment Involving 100 Trials and 4 Categories

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.