Question
Researchers want to determine whether all bags of Skittles have the same proportion of colors regardless of the flavor of Skittles. To test this, they
Researchers want to determine whether all bags of Skittles have the same proportion of colors regardless of the flavor of Skittles. To test this, they randomly sampled king-size bags of each flavor and recorded their findings in the table.
Flavor | Skittles Color | ||||
---|---|---|---|---|---|
Red | Orange | Yellow | Blue | Green | |
Original | 15 | 20 | 18 | 12 | 16 |
Tropical | 10 | 7 | 9 | 18 | 5 |
Wild Berry | 16 | 12 | 13 | 8 | 10 |
Part A: What are the correct degrees of freedom for this table? (2 points) Part B: Calculate the expected count for the number of blue tropical Skittles. Show your work. (3 points) Part C: Is there sufficient evidence that there is a difference in the proportion of colors for the different flavors of Skittles? Provide a statistical justification for your conclusion. (5 points)
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