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

`H_o` : `p_A = 0.1`; `p_B = 0.1`; `p_C = 0.3`; `p_D = 0.5`

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

Category	Observed Frequency	Expected Frequency	Residual	A14	B10	C44	D61

What is the chi-square test-statistic for this data?
`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?

Reject the Null Hypothesis
Fail to reject the Null Hypothesis

Report all answers accurate to three decimal places.