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

Essay

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

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