Question

In studying the responses to a multiple-choice test question, the following sample data were obtained. At the 0.10 significance level, test the claim that the responses occur with the same frequency. Ho: The responses to the questions occur with the same frequency Ha: The responses to the questions do not occur with the same frequency C 2 Observed Expected | (O - E) Response Frequency |Frequency E 24 A B 6 C 6 25 D E 17 What is the chi-square test-statistic for this data? What is the p-value? What would be the conclusion of this hypothesis test? OFail to reject the Null Hypothesis OReject the Null Hypothesis

Answer 1

TOPIC:Chi-square test.

Hene, Total nequeny=24 + 6 +6 +25 +17. 78. besponses - 5. and k No, So Expected oeaueney on each nesponse NO 78 15.6 To test/ Ho The respon ses to the questions dreaueny Ccavr With the same s. da The responses to the uastiona do occur with the same a

Conside Aha loing tabla as Lo-E) Exbected Obsewe? Responde Fregueny (0i) Puguany () A 4.5231 15.6 24 5.9077 15.6 5.9077 15.6 5.6641 15.6 25 0. 1256 15. 6 N= 78 78 22-1282 lat To tak 22. 128 chi-square test - stati'se : -E: E: = k-1= 5-1=4. Degrees of dreedom Pvalue と 22-128 [t (22-129). FO)-4 - F From chi- =1-O.9998 $uuare tab (2 values. O.0002 Rounded to 0.000 three deimaly f- value Since (-0. 05, bay) we Reject the nuu y thesis conclusion mot Thene is Final Sudicient evidence ta conclude thot the test question responses oceur with the freguency, TAmd Aame