Is a person's education level associated with their happiness level? The following data represent the highest level of educational achievement and happiness level ofa random sample of people. Test the claim of independence between education level and happiness. Use the a = 0.09 level of significance. O I Observed v | V][= V\"Expected Education level and happiness are independent. (There is no association between education level and happiness.) 0 Education level and happiness are not independent. (There is an association between education level and happiness.) 0 Education level and happiness are independent. (There is no association H1: between education level and happiness.) Education level and happiness are not independent. (There is an association between education level and happiness.) b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: AAA -30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30 q q Q O O (Q Critical value(s): 4.816 V c. Find the test statistic. 1.085 d. Find the p-value. l:] 6- Decide: Ho f. Conclusion: At a = 0.09 significance level, there enough evidence to conclude that there is an association between education level and happiness