= Solution
For four categories the number of <statistical degrees of freedom> is $4-1=3$. The supplied 5% critical value is therefore $q_3=7.82$, and $7.3<7.82$. Hence
$$
\boxed{\text{Do not reject equal category probabilities at the 5\% level.}}
$$
The approximate <p-value> is $\Pr(\chi_3^2\geq7.3)\approx0.063$. This conclusion assumes the large-sample multinomial approximation is adequate, in particular sufficiently large expected category counts. It means there is insufficient evidence against the uniform <null hypothesis>, rather than establishing that the probabilities are equal.
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