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ple, aski pled 113 people, again asking them their favorite skittle flavor, but rather than by color they asked by the nge, grape, strawberry, and lemon, respectively). The table below shows the results from both polls. Does t ir favorite Skittles type, by color or flavor, appear to be related to which type is chosen? Green Purple (Lime) Orange (Grape) Color 26 13 20 Flavor 18 21 25 Red (Strawberry) Toblo 1 Skibbles populari 18 36 Yellow (Lemon) 16 13

ple, aski pled 113 people, again asking them their favorite skittle flavor, but rather than by color they asked by the nge, grape, strawberry, and lemon, respectively). The table below shows the results from both polls. Does t ir favorite Skittles type, by color or flavor, appear to be related to which type is chosen? Green Purple (Lime) Orange (Grape) Color 26 13 20 Flavor 18 21 25 Red (Strawberry) Toblo 1 Skibbles populari 18 36 Yellow (Lemon) 16 13

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Favorite Skittles Flavor? A poll sampled 93 people, asking them their favorite skittle flavor by color (green, orange, purple, red, or yellow). A separate poll sampled 113 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? Color i Round your answers to one decimal place. Flavor i Green (Lime) Degrees of freedom = i Color (a) Give a table with the expected counts for each of the 10 cells. i Flavor i chi-square statistic = i p-value = i Green Purple (Lime) Orange (Grape) Orange (d) Calculate the chi-square test statistic. Round your answer to two decimal places. 26 18 (e) Determine the p-value. Round your answer to three decimal places. (b) Are the expected counts large enough for a chi-square test? 13 21 (c) How many degrees of freedom do we have for this test? i i 20 Table 1 Skittles popularity 25 Purple (Grape) Red (Strawberry) 18 i 36 i Red (Strawberry) Yellow (Lemon) 16 Using a 5% level, do we find evidence that method of choice affects which is chosen? 13 i i Yellow (Lemon)
Transcribed Image Text:Favorite Skittles Flavor? A poll sampled 93 people, asking them their favorite skittle flavor by color (green, orange, purple, red, or yellow). A separate poll sampled 113 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? Color i Round your answers to one decimal place. Flavor i Green (Lime) Degrees of freedom = i Color (a) Give a table with the expected counts for each of the 10 cells. i Flavor i chi-square statistic = i p-value = i Green Purple (Lime) Orange (Grape) Orange (d) Calculate the chi-square test statistic. Round your answer to two decimal places. 26 18 (e) Determine the p-value. Round your answer to three decimal places. (b) Are the expected counts large enough for a chi-square test? 13 21 (c) How many degrees of freedom do we have for this test? i i 20 Table 1 Skittles popularity 25 Purple (Grape) Red (Strawberry) 18 i 36 i Red (Strawberry) Yellow (Lemon) 16 Using a 5% level, do we find evidence that method of choice affects which is chosen? 13 i i Yellow (Lemon)
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