Exhibit 12.4 In the following table,likely voters' preferences of two candidates are cross-classified by gender. Refer to Exhibit 12.4.Using the critical value approach,the decision and conclusion are:
A)Reject the null hypothesis,gender and candidate preference are dependent
B)Do not reject the null hypothesis,gender and candidate preference are independent
C)Reject the null hypothesis,gender and candidate preference are independent
D)Do not reject the null hypothesis,gender and candidate preference are dependent

Question

Exhibit 12.4 In the following table,likely voters' preferences of two candidates are cross-classified by gender.  Refer to Exhibit 12.4.Using the critical value approach,the decision and conclusion are:
A)Reject the null hypothesis,gender and candidate preference are dependent 
B)Do not reject the null hypothesis,gender and candidate preference are independent 
C)Reject the null hypothesis,gender and candidate preference are independent 
D)Do not reject the null hypothesis,gender and candidate preference are dependent

Quizplus · Accepted Answer

Using the critical value approach, we calculate the chi-square statistic to be 7.41 which is greater than the critical value of 3.84 at a 5% level of significance and degrees of freedom of 1. Therefore, we reject the null hypothesis and conclude that gender and candidate preference are dependent.