Favorite Skittles Flavor?A poll sampled 75 people, asking them their favorite skittle flavor by color (green, orange, purple, red, or yellow). A separate poll sampled 98 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 20 10 17 15 13 Flavor 15 18 22 33 10 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. b) How many degrees of freedom do we have for this test? c) Calculate the chi-square test statistic to 2 decimal places and the p-value to 4 decimal places.
Favorite Skittles Flavor?
A poll sampled 75 people, asking them their favorite skittle flavor by color (green, orange, purple, red, or yellow). A separate poll sampled 98 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
|
20
|
10
|
17
|
15
|
13
|
|
Flavor
|
15
|
18
|
22
|
33
|
10
|
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.
b) How many degrees of freedom do we have for this test?
c) Calculate the chi-square test statistic to 2 decimal places and the p-value to 4 decimal places.
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