Question

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 x^2=9.84 with a p-value of 0.02. Which of the following statements is the correct interpretation of the pp-value in context?

a. There is a 2 percent chance that where a person lives and who that person plans to vote for are independent.
b. There is a 2 percent chance that where a person lives and who that person plans to vote for are dependent.
c. There is a 2 percent chance of making a Type IIII error.
d. 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.
e. 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.

Answer 1

The answer is "Option e".

Explanation:

The Chi-Square Independence Test determines if the variables or linked among measurement items factors. It test is indeed not symmetric. It is also known as Interaction Chi-Square Test. Therefore it is also a 2% likelihood of obtaining a test statistic which is 9.84 or higher unless the place where a person is living, but for whom each plans to vote is different.