You are conducting a multinomial Goodness of Fit hypothesis test for the claim t

Question

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: H o Ho : p A = 0.3 pA=0.3; p B = 0.2 pB=0.2; p C = 0.2 pC=0.2; p D = 0.3 pD=0.3 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 34 B 21 C 26 D 20 What is the chi-square test-statistic for this data? 2 = 2= What is the P-Value? P-Value = For significance level alpha 0.01, 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.

Explanation / Answer

Solution:

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Observed
Expected: Expected

Hence,

X2 =  5.650

P - value = 0.1299

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