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 : p A = 0.3 ; p B = 0.1 ; p C = 0.1 ; p D = 0.5 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 50 B 38 C 19 D 66 What is the chi-square test-statistic for this data? χ 2 = What is the P-Value? P-Value = For significance level alpha 0.1, 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.

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies Ho:PA 0.3 p 0.1 0.1: p 0.5 Complete the table. Report all answers accurate to three decimal places. Observed Expected Category Frequency Frequency A 50 What is the chi-square test-statistic for this data? 2 What is the P-Value? P-Value For significance level alpha 0.1 What would be the conclusion of this hypothesis test? OReject the Null Hypothesis Fail to reject the Null Hypothesis Report all answers accurate to three decimal places.

Answer 1

Here n= 4 E = p* 173 | 51.900 17.300 17.300 86.500 173 0 50 38 19 (O 0 0.3 0.1 0.1 0.5 Total 1.9 0.0696 20.724.768 0.1671 20.5 4.8584 1.7 173 29.863 0-E 29.863 D.F n-1 3 Significance level- a 0.1 Critical Value- 丨(Using Excel command CHI1NV(α'D.F) Using Excel command CHIDIST(72 ,DP P-value = 0.00 Conclusion: Reject HO