You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...

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You are conducting a multinomial Goodness of Fit hypothesis testfor the claim that the 4 categories occur with the followingfrequencies:

H o : p A = 0.15 ; p B = 0.4 ; p C = 0.3 ; p D = 0.15 Completethe table.

Report all answers accurate to three decimal places.

1)

categoryobserved frequencyexpected frequencyresidual (chi-square) component
A10
B25
C16
D17

2) What is the chi-square test-statistic forthis data?

? 2 =

Significance level alpha is 0.005.

3) What is the p-value?

p-value =

4) What would be the conclusion of thishypothesis test?

A)Reject the Null Hypothesis

B)Fail to reject the Null Hypothesis

Report all answers accurate to three decimal places.

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