Exhibit 12.4 In the following table,likely voters' preferences of two candidates are cross-classified by gender. Refer to Exhibit 12.4.For the chi-square test of independence,the value of the test statistic is:
A)2.34
B)1.62
C)3.25

Question

Exhibit 12.4 In the following table,likely voters' preferences of two candidates are cross-classified by gender.  Refer to Exhibit 12.4.For the chi-square test of independence,the value of the test statistic is:
A)2.34 
B)1.62 
C)3.25

Quizplus · Accepted Answer

To calculate the chi-square test statistic, we need to use the formula:
χ² = Σ (O-E)² / E
where O is the observed frequency, E is the expected frequency, and Σ is the summation sign.
Using this formula, we can calculate the expected frequencies for each cell by multiplying the row total and column total and dividing by the grand total. For example, the expected frequency for male voters who prefer Candidate A is (420*510)/1080 = 198.33.
Then, we can calculate the chi-square test statistic by summing the (O-E)²/E for each cell. For this table, the chi-square test statistic is 3.25.
Therefore, the best choice is C.