Favorite Skittles Flavor Skittles are a popular fruity candy with five different flavors (colored green, orange, purple, red, and yellow). A sample of 70 people recorded their favorite flavor and the results are shown in the table below. Perform a chi-square test, as indicated in the steps below, to see whether or not the flavors are equally popular. Green Orange Purple Red Yellow 18 10 16 14 12 Table 1 Skittles popularity (a) State the null hypothesis. Use the subscripts 1 for Green, 2 for Orange, 3 for Purple, 4 for Red, and 5 for Yellow. Enter your answer in increasing order of the subscripts, with a number at the end. H0: _ (b) If every flavor of skittle were equally popular, how many people (in a sample of 70) would we expect to choose each? Enter the exact answer. We would expect people in each category. (c) How many degrees of freedom do we have? We have __ degrees of freedom. Carry out all calculations exactly, then round your answer for the chi-square statistic to two decimal places, and your answer for the p-value to three decimal places. χ2= p-value= (e) What is the conclusion about the popularity of the skittles flavors? a) Reject H0: There is evidence that the assumed proportions are correct. b) Do not reject H0: We did not find evidence that the assumed proportions are not correct. c) Reject H0: There is evidence that the assumed proportions are not correct. d) Do not reject H0: We did not find evidence that the assumed proportions are correct.

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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Favorite Skittles Flavor

Skittles are a popular fruity candy with five different flavors (colored green, orange, purple, red, and yellow). A sample of 70 people recorded their favorite flavor and the results are shown in the table below. Perform a chi-square test, as indicated in the steps below, to see whether or not the flavors are equally popular.

Green	Orange	Purple	Red	Yellow
18	10	16	14	12

Table 1 Skittles popularity

(a) State the null hypothesis.

Use the subscripts 1 for Green, 2 for Orange, 3 for Purple, 4 for Red, and 5 for Yellow.

Enter your answer in increasing order of the subscripts, with a number at the end.

H₀: _____

(b) If every flavor of skittle were equally popular, how many people (in a sample of 70) would we expect to choose each?

Enter the exact answer.

We would expect ____ people in each category.

We have ______ degrees of freedom.

Carry out all calculations exactly, then round your answer for the chi-square statistic to two decimal places, and your answer for the p-value to three decimal places.

χ2=

p-value=

(e) What is the conclusion about the popularity of the skittles flavors?

a) Reject H0: There is evidence that the assumed proportions are correct.

b) Do not reject H0: We did not find evidence that the assumed proportions are not correct.

c) Reject H0: There is evidence that the assumed proportions are not correct.

d) Do not reject H0: We did not find evidence that the assumed proportions are correct.

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