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 p-value approach and α = 0.10,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 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 p-value approach and α = 0.10,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 null hypothesis,gender and candidate preference are dependent

Quizplus · Accepted Answer

Using the p-value approach with α = 0.10, we compare the obtained p-value to the level of significance. If the p-value is less than or equal to α, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.
In this case, using a chi-square test for independence, we obtain a p-value of 0.036, which is less than α = 0.10. Therefore, we reject the null hypothesis that candidate preference and gender are independent and conclude that there is a significant association between the two variables.