Green Purple Red Yellow (Lime) Orange (Grape) (Strawberry) (Lemon) Color 20 10 17 15 13 Flavor 15 18 22 33 10 Table 1 Skittles popularity

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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?
Purple
(Lime) Orange (Grape) (Strawberry) (Lemon)
Green
Red
Yellow
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.
Green
Purple
Red
Yellow
Orange
(Lime)
(Grape)
(Strawberry)
(Lemon)
Color
i
i
Flavor
Transcribed Image Text: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? Purple (Lime) Orange (Grape) (Strawberry) (Lemon) Green Red Yellow 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. Green Purple Red Yellow Orange (Lime) (Grape) (Strawberry) (Lemon) Color i i Flavor
(b) Are the expected counts large enough for a chi-square test?
(c) How many degrees of freedom do we have for this test?
Degrees of freedom =
i
(d) Calculate the chi-square test statistic.
Round your answer to two decimal places.
chi-square statistic =
(e) Determine the p-value.
Round your answer to four decimal places.
p-value = i
Using a 5% level, do we find evidence that method of choice affects which is chosen?
Transcribed Image Text:(b) Are the expected counts large enough for a chi-square test? (c) How many degrees of freedom do we have for this test? Degrees of freedom = i (d) Calculate the chi-square test statistic. Round your answer to two decimal places. chi-square statistic = (e) Determine the p-value. Round your answer to four decimal places. p-value = i Using a 5% level, do we find evidence that method of choice affects which is chosen?
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