Consider a Multinomial Experiment Involving 160 Trials 4 Categories (Cells) $$\begin{array} { | l | c c c c | } \hline \text { Category } & 1 & 2 & 3 & 4 \\\hline \text { Frequency } & 53 & 35 & 30 & 42 \\\hline\end{array}$$

Essay

Consider a multinomial experiment involving 160 trials 4 categories (cells).The observed frequencies resulting from the experiment are shown in the accompanying table.
$$\begin{array} { | l | c c c c | } \hline \text { Category } & 1 & 2 & 3 & 4 \\\hline \text { Frequency } & 53 & 35 & 30 & 42 \\\hline\end{array}$$ Use the 10% significance level to test the hypotheses: H₀: p₁ = p₂ = p₃ = p₄ = .25 vs.H₁: At least one proportion differs from their specified values.