Skittles are a popular fruity candy with five different flavors (colored green, orange, purple, red, and yellow). A sample of 55 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 15 7 13 11 9.

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

(b) If every flavor of skittle were equally popular, how many people (in a sample of 55) would we expect to choose each?
Enter the exact answer.
We would expect i
people in each category.
(c) How many degrees of freedom do we have?
We have
i
degrees of freedom.
(d) Calculate the chi-square test statistic and the p-value.
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.
i
p-value =
Transcribed Image Text:(b) If every flavor of skittle were equally popular, how many people (in a sample of 55) would we expect to choose each? Enter the exact answer. We would expect i people in each category. (c) How many degrees of freedom do we have? We have i degrees of freedom. (d) Calculate the chi-square test statistic and the p-value. 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. i p-value =
Skittles are a popular fruity candy with five different flavors (colored green, orange, purple, red, and yellow). A sample of 55 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
15
7
13
11
9
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.
:: u1
:: µ2
:: µ3
:: L5
:: 0.1
:: 0.2
:: 0.25
%3D
>
:: p
:: Pi
: P2
: P3
: P4
:: P5
::
::
::
Transcribed Image Text:Skittles are a popular fruity candy with five different flavors (colored green, orange, purple, red, and yellow). A sample of 55 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 15 7 13 11 9 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. :: u1 :: µ2 :: µ3 :: L5 :: 0.1 :: 0.2 :: 0.25 %3D > :: p :: Pi : P2 : P3 : P4 :: P5 :: :: ::
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