Many lottery enthusiasts search for patterns that they hope will indicate winning combinations. Yuri thinks that sums of numbers in Lotto 6/49 draws are not evenly distributed. Refer to Data Set 12 in Appendix B and find the sum for each row of numbers {not including the bonus number). Place these numbers into categories by this procedure: Divide each sum by 20, then ignore the decimal portion of the result. (For example, the sum 57 would be placed in the category 2, since 57/20 = 2.85, or 2 with the decimal portion dropped.) At the 0.05 level of significance, test the claim that the categories based on sums of the numbers occur with the same frequency. Do the results imply that the lottery is not fair?