On November 18, 1980, the Wall Street Journal published a Gallup survey of the opinions of 782 chief executives of US corporations. The 782 chief executives represent samples of 282 fromlarge firms, 300 from medium-sized firms and 200 from small firms. Frank Allen, a staff reporter for the Wall Street Journal, used a questionnaire to ask “How many people in your company are capable of doing your job as chief executive?” The results are presented in the table.

Use the chi-square statistic to test whether “number of people capable of doing your job” is independent of “size of firm” at α = .05.

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A 6 x 3 Contingency table for 782 chief executives' responses Suitable Large firms successors 1 2 3 4 or 5 6 or more Don't know 6% 14 24 30 22 4 Medium firms 10 % 27 26 21 11 5 Small firms 22 % 30 18 8 4 18