The Chi-Square Distribution

Question

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

H₀ : _A ;  _B ;  _C;  _D

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

Category	Observed Frequency	Expected Frequency
A	26
B	38
C	23
D	33

What is the chi-square test-statistic for this data? (2 decimal places) 

X^{2 = ______________________}

What is the P-Value? (3 decimal places)

P-Value =________________________

For significance level alpha 0.005,

What would be the conclusion of this hypothesis test?

A) Reject the Null Hypothesis

B) Fail to reject the Null Hypothesis

Report all answers accurate to three decimal places.

Answer 1