A small coffee shop sells freshly squeezed juices in a refrigerated unit with slots where the juice is displayed. These slots are called facings. The manager of the coffee shop suspects that the distribution of juice sales is different than the distribution of facings for each type of juice, so the manager records the sales of each juice over a two-week period. The proportion of facings and the sales for each type of juice are shown in the tables.

JuiceMangoOrangeApplePineappleGrapefruitGrapeProportion of Facings0.1875,0.250,0.250,0.125,0.125,0.0625

JuiceMangoOrangeApplePineappleGrapefruitGrapeObserved Number of Sales23,35,46,12,10,5

(a) Construct a single bar chart that contains both the expected proportion of sales based on the proportion of facings and the observed proportion of sales for each type of juice.

(b) Assuming the conditions for inference have been met, does the coffee shop owner have sufficient evidence to conclude that the distribution of sales is proportional to the number of facings at a 5 percent level of significance? Conduct the appropriate statistical test to support your conclusion.