In the following table,likely voters' preferences of two candidates are cross-classified by gender. 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

In the following table,likely voters' preferences of two candidates are cross-classified by gender.  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 compare the calculated chi-square value (9.98) to the critical value at the 5% level of significance with 1 degree of freedom (3.84). Since the calculated value is greater than the critical value, we reject the null hypothesis. Therefore, we conclude that gender and candidate preference are dependent.

In the Following Table,likely Voters' Preferences of Two Candidates Are