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Consider a Multinomial Experiment Involving N = 200 Trials and K

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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:  Cell 12345 Frequency 822282418\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. H0:p1=0.10H _ { 0 } : p _ { 1 } = 0.10 , p2=0.25,p _ { 2 } = 0.25, p3=0.30,p _ { 3 } = 0.30, p4=0.20,p _ { 4 } = 0.20, p5=0.15p _ { 5 } = 0.15 p5=0.15p _ { 5 } = 0.15 .

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