Answered: Favorite Skittles Flavor?A poll sampled…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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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