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

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

The p-value is not provided in the question, hence cannot be calculated. However, based on the given significance level of α = 0.10, if the calculated p-value is less than 0.10, we reject the null hypothesis, which states that gender and candidate preference are independent. Hence, the decision and conclusion are that we reject the null hypothesis, and gender and candidate preference are dependent. Therefore, the best answer is A.

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