Following Are Observed Frequencies $H _ { 0 } : p _ { 1 } = 0.35 , p _ { 2 } = 0.2 , p _ { 3 } = 0.15$

Multiple Choice

Following are observed frequencies. The null hypothesis is $H _ { 0 } : p _ { 1 } = 0.35 , p _ { 2 } = 0.2 , p _ { 3 } = 0.15$ , $p _ { 4 } = 0.15 , p _ { 5 } = 0.15$ .

$\begin{array}{l|lllll}\text { Category } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 32 & 37 & 7 & 23 & 4\end{array}$

Compute the value of $\chi ^ { 2 }$ .

A) 31.667
B) 11.070
C) 9.488
D) 30.308