Consider a Multinomial Experiment Involving N = 200 Trials and K

question 97

Essay

Consider a multinomial experiment involving n = 200 trials and k = 5 cells. The observed frequencies resulting from the experiment are shown in the following table: $$\begin{array} { | l | c | c | c | c | c | } \hline \text { Cell } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Frequency } & 16 & 44 & 56 & 48 & 36 \\\hline\end{array}$$ The null hypothesis to be tested is as follows.
H₀ : p₁ = 0.05, p₂ = 0.25, p₃ = 0.35, p₄ = 0.20, p₅ = 0.15.
Test the hypothesis at the 5% level of significance.