You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:

$\displaystyle {H}_{{o}}$ : $\displaystyle {p}_{{A}}={0.1}$;  $\displaystyle {p}_{{B}}={0.4}$;  $\displaystyle {p}_{{C}}={0.2}$;  $\displaystyle {p}_{{D}}={0.3}$

Complete the table. Report all answers accurate to three decimal places.

Category	Observed Frequency	Expected Frequency	Residual	A23	B24	C14	D43

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

For significance level alpha 0.005, what is the chi-square Critical Value?
Critical Value =

What would be the conclusion of this hypothesis test?

Report all answers accurate to three decimal places.