A travel agency is interested in finding out if different age groups frequent different Spring Break destinations, in order to better target the appropriate audiences. A random sample of college Spring Break vacationers produces the results given in the table below. Is there enough evidence at the 0.005 level of significance to show that there is a relationship between age (by college classification) and destination? Observed Sample of College Students Beach Mountains City Home Total Freshman 25 25 9 9 68 Sophomore 17 16 18 52 Junior 23 18 12 13 66 Senior 23 24 15 23 85 Total 88 83 37 63 271 Copy Data Step 3 of 4: Compute the value of the test statistic. Round your answer to three decimal places, if necessary. (Note: If calculating by hand, be sure to use at least six decimal places in numbers for all intermediate calculations to ensure accuracy of the result.)