301 Spring 2017 Hv x Utts and Heckard Mine x C A Professor Has Noticeo x c o O w

Question

301 Spring 2017 Hv x Utts and Heckard Mine x C A Professor Has Noticeo x c o O www webassign net webstudent/Assignment Responses submit?dep 15622918 M D Tw Email M ACT Connect WebAssign BR StatCrunch Data an (a) Complete the table. Republican Independent other Totals 122 61 Female 88 20 210 (b) suppose we randomly select one person from this sample. Calculate the following. (Round your answers to three decimal places.) odds Democrat Female) Odds(Democrat l Male) odds Ratio for Democrat, comparing female odds to male odds e female odds go in the numerator Odds(Republican IFemale) odds(RepublicanlMale odds Rato for Republican, comparing female odds to male odds e female odds go in the numerator)- (c) suppose we would like to perform a chi square test to see if gender and affiliation are independent or dependent. Use a 0.1 What are the degrees of freedom for this test? (d) Fil in the expected cell counts (under independence) into the table below. (Round your answers to two decimal places.) Republican Independent Other Democrat Female Male (e) Compute the r test statistic. (Round your answer to two decimal places Compute the p value, (Round your answer to four decimal places.) (g) What is the statistical decision? Reject Ho and conclude that gender and political affiliation are independent. Reject Ho and conclude that gender and political affiliation are dependent Fail to reject Ho and conclude that gender and political affiliation are independent Fail to reject Ho and conclude that gender and political affMiation are dependent a Type or talk to search

Explanation / Answer

odds(democrat|female )=1.000

odds(democrat|male )=33/55=0.6

odds(republic|female)=39/83=0.470

odds(republic|male)=20/68=0.294

degree of freedom =(r-1)*(col-1)=3

chi stat =12.245

p value=0.0066

reject Ho and conclude that dependent

Observed O Democrat Republican Independent Others Total Female 61 39 19 3 122 Male 33 20 30 5 88 Total 94 59 49 8 210 Expected E=rowtotal*column total/grand total Democrat Republican Independent Others Total Female 54.610 34.276 28.467 4.648 122 Male 39.390 24.724 20.533 3.352 88 Total 94 59 49 8 210 chi square =(O-E)^2/E Democrat Republican Independent Others Total Female 0.748 0.651 3.148 0.584 5.131 Male 1.037 0.903 4.365 0.810 7.114 Total 1.785 1.554 7.513 1.394 12.245

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