questions: d: Select all the correlations that are significant at the 0.05 level

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d: Select all the correlations that are significant at the 0.05 level. (NOTE: column 12= Turnout percentage)

Gore percentage $ Bush percentage
Gore percentage & Buchanan percentage
Gore percentage & Nader percentage
Gore percentage & Total registered voters
Gore percentage & Turnout percentage
Bush percentage & Buchanan percentage
Bush percentage & Nader percentage
Bush percentage & Total registered voters
Bush percentage & Turnout percentage
Buchanan percentage & Nader percentage
Buchanan percentage & Total registered voters
Buchanan percentage & Turnout percentage
Nader percentage & Total registered voters
Nader percentage & Turnout percentage
Total registered voters & Turnout percentage

e. Select all the correlations that are significant when controlling the family-wise error rate at 0.05 using the Bonferroni correction. (NOTE: column 12= Turnout percentage)
Gore percentage $ Bush percentage
Gore percentage & Buchanan percentage
Gore percentage & Nader percentage
Gore percentage & Total registered voters
Gore percentage & Turnout percentage
Bush percentage & Buchanan percentage
Bush percentage & Nader percentage
Bush percentage & Total registered voters
Bush percentage & Turnout percentage
Buchanan percentage & Nader percentage
Buchanan percentage & Total registered voters
Buchanan percentage & Turnout percentage
Nader percentage & Total registered voters
Nader percentage & Turnout percentage
Total registered voters & Turnout percentage

Correlation Probability Gore_Pct Bush Pct Buchanan Pct 0.0174 0.0250 Nader_Pct Total_Reg Column 12 Gore_Pct Bush_Pct Buchanan_Pct Nader Pct Total_Reg Column 12 0.0174 0.0414

Explanation / Answer

Solution-

Hypotheses to test whether correlation is significant would be-

H0: Correlation is not significant

Ha: Correlation is significant

Considering the p-values given in the 2nd table, we compare p-values with the level of significance 0.05

After comparsion we see that the correlations which have p-values less than 0.05 are -

Gore percentage $ Bush percentage
Gore percentage & Buchanan percentage
Gore percentage & Nader percentage
Gore percentage & Total registered voters
Bush percentage & Buchanan percentage
Bush percentage & Nader percentage
Bush percentage & Total registered voters
Buchanan percentage & Nader percentage
Buchanan percentage & Total registered voters
Nader percentage & Turnout percentage
Total registered voters & Turnout percentage

In these cases as p-value is less than 0.05 so null hypothesis is rejected at 5% level of significance and hence correlation is signifcant.

All other cases except these do not have significant correlation.

Answer

TY!

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