A company that invests heavily in shopping centres conducts a study to determine whether there is a relationship between the type of retailer a customer encounters and whether this occurs on the ground floor of a shopping complex. A random sample of 550 outlets is tabulated across a number of multistorey shopping centres with the following details provided in a joint probability matrix.

Construct a table identical to the one above but, in each of the cells where the joint probabilities occur, calculate the percentage of retailers that would appear on a certain floor if floor and type of retailer are independent. Compare the two tables and write a short interpretation advising whether any relationship appears to exist and the nature of this relationship.

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Floor Ground Total (%) Type of retailer Other 26 8. 10 44 10 22 36 30 34 100 Food Fashion Other Other Total (%) 24 56