A Multinomial Experiment With $k = 3$ Cells And $n = 30$

Essay

A multinomial experiment with $k = 3$ cells and $n = 30$ has been conducted and the results are shown in the table.
$\begin{array}{l}\quad\quad\quad\text { Cell }\\\begin{array} { c | c c c } & 1 & 2 & 3 \\\hline n _ { i } & 16 & 12 & 2\end{array}\end{array}$
Explain why the sample size is not large enough to test whether $p _ { 1 } = .55 , p _ { 2 } = .40$ , and $p _ { 3 } = .05$ .