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 χ2=9.84 with a p-value of 0.02. Which of the following statements is the correct interpretation of the p-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 II 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

Answer:

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.

Step-by-step explanation:

Chegg