Are the expected counts large enough for a chi-square test?
7.2-9 Please answer all. thank you
Favorite Skittles Flavor?
A poll sampled 63 people, asking them their favorite skittle flavor by color (green, orange, purple, red, or yellow). A separate poll sampled 88 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
|
16
|
8
|
15
|
13
|
11
|
|
Flavor
|
13
|
16
|
20
|
31
|
8
|
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 | Enter your answer in accordance to item (a) of the question statement | Enter your answer in accordance to item (a) of the question statement | Enter your answer in accordance to item (a) of the question statement | Enter your answer in accordance to item (a) of the question statement | Enter your answer in accordance to item (a) of the question statement |
| Flavor | Enter your answer in accordance to item (a) of the question statement | Enter your answer in accordance to item (a) of the question statement | Enter your answer in accordance to item (a) of the question statement | Enter your answer in accordance to item (a) of the question statement | Enter your answer in accordance to item (a) of the question statement |
(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
(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 = Enter your answer in accordance to item (e) of the question statement
Using a 5% level, do we find evidence that method of choice affects which is chosen?
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