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 $p _ { 3 } = .05$.

Question

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 $p _ { 3 } = .05$.

Quizplus · Accepted Answer

The Answer of 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 $p _ { 3 } = .05$.

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

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