Consider a Multinomial Experiment Involving N = 200 Trials and K

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: $$\begin{array} { | l | c | c | c | c | c | } \hline \text { Cell } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Frequency } & 8 & 22 & 28 & 24 & 18 \\\hline\end{array}$$ The null hypothesis to be tested is as follows. $H _ { 0 } : p _ { 1 } = 0.10$ , $p _ { 2 } = 0.25,$ $p _ { 3 } = 0.30,$ $p _ { 4 } = 0.20,$ $p _ { 5 } = 0.15$ $p _ { 5 } = 0.15$ .