An online shoe retailer sells women’s shoes in sizes 5 to 10. Inthe past orders for the different shoe sizes have followed thedistribution given in the table provided. The management believesthat recent marketing efforts may have expanded their customer baseand, as a result, there may be a shift in the size distribution forfuture orders. To have a better understanding of its future sales,the shoe seller examined 1,174 sales records of recent orders andnoted the sizes of the shoes ordered. The results are given in thetable provided. Test, at the 1% level of significance, whetherthere is sufficient evidence in the data to conclude that the shoesize distribution of future sales will differ from the historicone.
| Shoe Size | Past Size Distribution | Recent Size Frequency |
|---|
| 5.0 | 0.02 | 20 |
| 5.5 | 0.03 | 23 |
| 6.0 | 0.07 | 88 |
| 6.5 | 0.08 | 90 |
| 7.0 | 0.20 | 222 |
| 7.5 | 0.20 | 258 |
| 8.0 | 0.15 | 177 |
| 8.5 | 0.11 | 121 |
| 9.0 | 0.08 | 91 |
| 9.5 | 0.04 | 53 |
| 10.0 | 0.02 | 31 |
