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ID: 2948429 • Letter: T

Question

Try another similar question, reattempt last question below, or select another questic In studying the responses to a multiple-choice test question, the following sam 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 Response Observed Expected Frequency Freqency A 142059 17.2 17.2 17.2 17.2 0.59E 0.037 0.281 0.188 0.455 18 122 03 C 15 D 19 ? E 120 1122-- What is the chi-square test-statistic for this data? 1.558 What is the p-value?

Explanation / Answer

Hi, I believe the answer .81632 is right. Please see below process to know how we get it:

Take the average of the reposonses = (14+18+15+19+20)/5 = 17.2

Now, we have founded the (O-E)^2/E -- this part is correct. Add it to get Chisquare value of 1.558

What is the df ? It is (r-1)*(c-1) = (number of rows - 1)*( columuns -1) = (5-1)*(2-1) =4

So, lets look up the chisquare tables for 1.558 and df = 4

From Excel we have = 1-=CHISQ.DIST(1.558,4,TRUE) = .816

Software also returns same answer

(http://www.socscistatistics.com/pvalues/chidistribution.aspx)

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