9.3 Exit Ticket - Chi Squared Test for Goodness of Fit

A dry cleaning store is open 6 days per week and closed on Sunday. The manager of the store forms a model to forecast the number of customers visiting the store, so that he can effectively roster the staff. According to his model, customers visitng the store are supposed to be evenly distributed across the 6 operating days of the week.

To ensure his model is accurate, the manger records the number of customers visiting the store each day in a particular week. The results of the sample are shown in the table below.

The manager conducts a X² goodness of fit test at a 5% significance level to test the accuracy of his model. His hypotheses are as follows.

H₀: The data follows the model

H₁: The data does not follow the model