Question

7.46     A poll had a sample of 66 people choose their favorite Skittles flavor by color (green, orange, purple, red or yellow).  A separate poll sampled 91 people, again asking them their favorite Skittles flavor, but rather than by color they asked by the actual flavor (lime, orange, grape, strawberry, and lemon, respectively).  The table below shows the results from both polls.  Does the way people choose their favorite Skittles type, by color or flavor, appear to be related to which type is chosen?

	Green (Lime)	Orange	Purple (Grape)	Red (Strawberry)	Yellow (Lemon)
Color	18	9	15	13	11
Flavor	13	16	19	34	9

1. State the null and alternative hypotheses.
2. Give a table with the expected counts for each of the 10 cells.
3. Are the expected counts large enough for a chi-square test?
4. How many degrees of freedom do we have for this test?
5. Calculate the chi-square test statistic.
6. At the α=0.05 level, do we find evidence that method of choice affects which is chosen?

Answer 1