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A Multinomial Experiment with K = 3 Cells and N \quad

Question 39

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A multinomial experiment with k = 3 cells and n =30 has been conducted and the results are shown in the table. \quad \quad \quad Cell\text {Cell}
123ni16122\begin{array}{l|ccc} & 1 & 2 & 3 \\\hline n_{i} & 16 & 12 & 2\end{array}

Explain why the sample size is not large enough to test whether p1=.55,p2=.40p _ { 1 } = .55 , p _ { 2 } = .40 , and p3=.05p _ { 3 } = .05 .

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