Answers
Null hypothesis:Ho: proportion of adults who feels that a candidate looks is important is independent on political affiliation
Alternate hypothesis:Ha: proportion of adults who feels that a candidate looks is important is dependent on political affiliation
| degree of freedom(df) =(rows-1)*(columns-1)= | 2 | |
| for 2 df and 0.05 level of signifcance critical region χ2= | 5.991 | ||
Applying chi square test of independence:
| Expected | Ei=row total*column total/grand total | Democrat | Independent | Republican | Total |
| Important | 223.62 | 169.44 | 252.94 | 646 | |
| Not important | 325.38 | 246.56 | 368.06 | 940 | |
| total | 549 | 416 | 621 | 1586 | |
| chi square χ2 | =(Oi-Ei)2/Ei | Democrat | Independent | Republican | Total |
| Important | 0.058 | 1.066 | 1.150 | 2.275 | |
| Not important | 0.040 | 0.733 | 0.791 | 1.564 | |
| total | 0.099 | 1.799 | 1.941 | 3.8389 |
as test statistic 3.839 does not fall in rejection region; we fail to reject null hypothesis
we do not have evidence at 0.05 level to conclude that proportion of adults who feels that a candidate looks is important is dependent on political affiliation
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