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The race comes down to your candidate, Picton, and the surprise successful candidate, Neuman! The race comes down to the two major swing counties in

The race comes down to your candidate, Picton, and the surprise successful candidate, Neuman! The race comes down to the two major swing counties in the state Central County and Ocean County!

You sample 500 voters across the two counties, and find - 350 Central County Voters, of which 217 plan to vote for Picton, and 150 Ocean City Voters, of which 119 plan to vote for Picton.

STEP A:

Create a 2 X 2 Contingency Table assuming 500 registered voters.

Perform a Chi-Squared Test to see if the Proportion of Central County Voters who plan to vote for Picton is equal to the proportion of Ocean County Voters who plan to vote for Picton. At the 0.05 significance level, is there a difference?

STEP B:

However, you are also concerned about voter turnout in these two counties, as if turn out is low, it could be bad for your candidate.

Sample data are collected on the voter turnout (% of population) for multiple polling locations across the two counties!

Are the median voter turnouts for two counties the same?

  • For Central County, the rates are 51, 42, 44, 61, 43, 56, 70, 41.
  • For Ocean County, the rates are 50, 41, 29, 38, 79.

Test for equality of the population medians at the 0.05 significance level, using a Wilcoxon Rank Sum Test.

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