A game show allows contestants to pick one of six boxes, one of which contains a large sum of money. To reduce the expected winnings among the contestants, the organizers speculate that contestants will not pick at random, but that some boxes are more likely to be chosen over others. To find out, a study is done where potential contestants get to choose a box, in resulting the following frequencies: 6, 20, 30, 35, 10, 5.

Test the hypothesis that each box has the same probability of being chosen. Use α = .01