l T-Mobile @? 21%. ) wamap.org A random sample of 500 U.S. adults are questioned
ID: 3367898 • Letter: L
Question
l T-Mobile @? 21%. ) wamap.org A random sample of 500 U.S. adults are questioned regarding their political affiliation and opinion on a tax reform bill. The two categorical variables are political affiliation and opinion on the tax neform bill. The observed contingency table is given below Faver Indifferent Opposed Total 286 83 65 83 148 65 Total 203 149 500 A) This sample has degree of freedom: DF = If political affiliation and opinion on the tax return bill are independent, then B) Accurate to 2 decimal places, the expected count in row 2 column 1 is C) Accurate to 2 decimal places, the compoment aue in row 2 column 1 of the table is DX2 value of this sample is D) x2 value of this sample is E) At significance level 0.01, is the sample showing strong evidence that political affiliation and opinion on the tax reform bill are dependent? Use 4 docimal places for p-valne. Yes ONo F) The p-value for this sample was: p-value Points possible: 20 Unlimited attempts Message instructor about this question SubmitExplanation / Answer
Ans:
A)DF=(2-1)*(3-1)=2
B)Expected count=214*203/500=86.88
C)Chi square component for cell(2,1)=(65-86.88)^2/86.88=5.51
D)Chi square test statistic=20.44
E)p-value=CHIDIST(20.44,2)=0.0000
As,p-value<0.01,we reject the null hypothesis.
Yes,there is strong evidence that political affiliation and opinion are dependent.
Observed count(fo) Favor indifferent Opposed Total Democrat 138 83 65 286 Republican 65 66 83 214 Total 203 149 148 500 Expected count(fe) Favor indifferent Opposed Total Democrat 116.12 85.23 84.66 286 Republican 86.88 63.77 63.34 214 Total 203 149 148 500 Chi square=(fo-fe)^2/fe Favor indifferent Opposed Total Democrat 4.12 0.06 4.56 8.75 Republican 5.51 0.08 6.10 11.69 Total 9.64 0.14 10.66 20.44Related Questions
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