Bistro 65 is a chain of Italian restaurants with locations in Ohio and Kentucky. The Bistro 65 menu has four categories of entrees: Pasta, Steak & Chops, Seafood, and Other (e.g., pizza, sandwiches, etc.). Historical data for the chain show that the probability a customer will order an entrée from one of the four categories is .4 for Pasta, .1 for Steak & Chops, .2 for Seafood, and .3 for Other. A new Bistro 65 restaurant has just opened in Dayton, Ohio, and the following purchase frequencies have been observed for the first 200 customers.

Category                   Frequency

Pasta.........................................70

Steak & Chops.........................30

Seafood....................................50

Other........................................50

Total.......................................200

a. Conduct a hypothesis test to determine whether the order pattern for the new restaurant in Dayton is the same as the historical pattern for the established Bistro 65 restaurants.

Use a 5 .05.

b. If the difference in part (a) is significant, prepare a bar chart to show where the differences occur. Comment on any differences observed.