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 0.05 level of significance to show that there is a relationship between age (by college classification) and destination? Observed Sample of College Students
BeachMountainsCityHomeTotal
Freshman 18 8 19 7 52
Sophomore 24 28 17 6 75
Junior 26 17 10 11 64
Senior 14 13 8 7 42
Total 82 66 54 31 233
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.)
