You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies: $\displaystyle {H}_{{o}}$ : $\displaystyle {p}_{{A}}={0.5}$;  $\displaystyle {p}_{{B}}={0.1}$;  $\displaystyle {p}_{{C}}={0.3}$;  $\displaystyle {p}_{{D}}={0.1}$

Complete the table.

Category	Observed Frequency	Expected Frequency	Squared Residual
A	62
B	22
C	37
D	7

What is the chi-square test-statistic for this data?
$\displaystyle \chi^{{2}}=$

Report all answers accurate to three decimal places.