Question

Favorite Skittles Flavor?

A poll sampled 87 people, asking them their favorite skittle flavor by color (green, orange, purple, red, or yellow). A separate poll sampled 108 people, again asking them their favorite skittle 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	24	12	19	17	15
Flavor	17	20	24	35	12

Table 1 Skittles popularity

(a) Give a table with the expected counts for each of the 10 cells.

Round your answers to two decimal places.

	Green (Lime)	Orange	Purple (Grape)	Red (Strawberry)	Yellow (Lemon)
Color
Flavor

(b) Are the expected counts large enough for a chi-square test?

Choose the answer from the menu in accordance to item (b) of the question statement                                                          YesNo

(c) How many degrees of freedom do we have for this test?

Degrees of freedom = Enter your answer in accordance to item (c) of the question statement

(d) Calculate the chi-square test statistic.

Round your answer to two decimal places.

chi-square statistic = Enter your answer in accordance to item (d) of the question statement

(e) Determine the p-value.

Round your answer to four decimal places.

p-value =

Answer 1

The statistical software output for this problem is :

(b)

Yes

(c)

Degrees of freedom = 4

(d)

chi-square statistic = 8.17

(e)

P-value = 0.0854