AMTRAN is a package delivery company with hubs in Memphis and San Antonio. In a study of its delivery performance, the company tracked a sample of 150 customer complaints, determining the nature of the complaint and the hub that handled the package. Results of the study are given in the table.

Use a chi square test of independence to test a null hypothesis that the nature of the complaint is independent of hub source for the populations represented. Use a significance level of 5%.

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OBSERVED FREQUENCIES Nature of Complaint Hub Source Lo Lat Damaged Totals 21 32 15 Memphis San Antonio 29 44 Totals 68 92 150 50 76 24