Following Are Observed Frequencies $H _ { 0 } : p _ { 1 } = 0.4 , p _ { 2 } = 0.25$

Multiple Choice

Following are observed frequencies. The null hypothesis is $H _ { 0 } : p _ { 1 } = 0.4 , p _ { 2 } = 0.25$ $p _ { 3 } = 0.15 , p _ { 4 } = 0.1 , p _ { 5 } = 0.1$
$\begin{array} { l | l l l l l } \text { Category } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 33 & 13 & 7 & 12 & 8\end{array}$
Compute the expected frequencies.

A) 0.452,0.178,0.096,0.164,0.11
B) 33,13,7,12,8
C) 29.2,18.25,10.95,7.3,7.3
D) 14.6,14.6,14.6,14.6,14.6