A chi-square test of independence was conducted to investigate whether there is an association between the location where a person lives in a city (north, south, east, or west) and who the person planned to vote for in the upcoming mayoral election (the incumbent or the challenger). A random sample of 100 potential voters was selected, and the hypothesis test had a chi-square test statistic of χ2=9.84χ2=9.84 with a pp-value of 0.02. Which of the following statements is the correct interpretation of the pp-value in context?
A chi-square test of independence was conducted to investigate whether there is an association between the location where a person lives in a city (north, south, east, or west) and who the person planned to vote for in the upcoming mayoral election (the incumbent or the challenger). A random sample of 100 potential voters was selected, and the hypothesis test had a chi-square test statistic of χ2=9.84χ2=9.84 with a pp-value of 0.02. Which of the following statements is the correct interpretation of the pp-value in context?
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There is a 2 percent chance that where a person lives and who that person plans to vote for are independent.
A -
There is a 2 percent chance that where a person lives and who that person plans to vote for are dependent.
B -
There is a 2 percent chance of making a Type IIII error.
C -
Assuming that the location of where a person lives and who that person plans to vote for are dependent, there is a 2 percent chance of finding a test statistic that is 9.84 or greater.
D -
Assuming that the location of where a person lives and who that person plans to vote for are independent, there is a 2 percent chance of finding a test statistic that is 9.84 or greater.
E
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