Teens were asked in the MTF 2012 survey to report their leve

Teens were asked in the MTF 2012 survey to report their level of happiness (how are things these days?). The bivariate table (below) includes responses organized by teen’s race. Based on an alpha of .05, test whether race and happiness are independent. (show your calculations)

Solution

Set null and alternate as

H0: All means are equal

Ha: Atleast two means are not equal

Two tailed chi square table

Prepare contingency table.

The chi-square statistic is 12.1213. The P-Value is 0.016471. The result is significant at p < 0.05.

Hence reject null hypothesis.

They are not equally happy.

Or Race and happiness are not independent.