Compute the expected frequencies under the null hypothesis of homogeneity.
In a hypothetical study, four hospitals were compared with regard to the outcome of a particular type of surgery. For each patient at each hospital, the outcome was classified as Substantial improvement, Some improvement, or No improvement. The results are presented in the following contingency table.

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Outcome Some Substantial No Hospital Improvement Improvement Improvement 114 132 100 126 64 52 64 56 16 36 18