91Ó°ÊÓ

An ice cream maker performs a nationwide survey about favorite flavors of ice cream in different geographic areas of the U.S. Based on the Table, do the numbers suggest that geographic location is independent of favorite ice cream flavors? Test at the $5\%$significance level.

The table provides a recent survey of the youngest online entrepreneurs whose net worth is estimated at one million dollars or more. Their ages range from $17$to $30$. Each cell in the table illustrates the number of entrepreneurs who correspond to the specific age group and their net worth. Are the ages and net worth independent? Perform a test of independence at the $5\%$significance level.

$\begin{array}{|lllll|}\hline \text{Age Groupl Net Worth Value (in millions of US dollars)}& \mathbf{1}\mathbf{-}\mathbf{5}& \mathbf{6}\mathbf{-}\mathbf{24}& â‰\yen 25& \text{Row Total}\\ 17-25& 8& 7& 5& 20\\ 26-30& 6& 5& 9& 20\\ \text{Column Total}& 14& 12& 14& 40\\ \hline\end{array}$