In the TV show Sneak Preview by the late Gene Siskel and Roger Ebert, the two Chicago movie critics reviewed the week's new movie releases and then rated them thumbs up (positive), mixed, or thumbs down (negative). These two critics often saw the merits of a movie differently. In general, however, were the ratings given by Siskel and Ebert associated? The answer to this question was the focus of the paper "Evaluating Agreement and Disagreement Among Movie Reviewers" by A. Agresti and L. Winner that appeared in Chance (Vol. 10(2), pp. 10-14). The preceding contingency table summarizes the ratings by Siskel and Ebert for 160 movies. At the 1% significance level, do the data provide sufficient evidence to conclude that an association exists between the ratings of Siskel and Ebert?

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Ebert's rating Thumbs Thumbs down Mixed up Toal Thumbs 24 13 down Mixed Thumbs0 32 83 160 13 Total 42 30