Question
Favorite Skittles Flavor Skittles are a popular fruity candy with five different flavors (colored green, orange, purple, red, and yellow). A sample of 7575 people
Favorite Skittles Flavor Skittles are a popular fruity candy with five different flavors (colored green, orange, purple, red, and yellow). A sample of 7575 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 |
1919 | 1111 | 1717 | 1515 | 1313 |
Table 1 Skittles popularity
(a) State the null hypothesis.
Use the subscripts 11 for Green, 22 for Orange, 33 for Purple, 44 for Red, and 55 for Yellow. Enter your answer in increasing order of the subscripts, with a number at the end.
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(b) If every flavor of skittle were equally popular, how many people (in a sample of 7575) would we expect to choose each?
Enter the exact answer. We would expect people in each category.
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(c) How many degrees of freedom do we have?
We have degrees of freedom.
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(d) Calculate the chi-square test statistic and the -value.
Carry out all calculations exactly, then round your answer for the chi-square statistic to two decimal places, and your answer for the -value to three decimal places. 2=2= -value==
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(e) What is the conclusion about the popularity of the skittles flavors?
Select answer from the options below
Reject 00: There is evidence that the assumed proportions are correct.
Reject 00: There is evidence that the assumed proportions are not correct.
Do not reject 00: We did not find evidence that the assumed proportions are not correct.
Do not reject 00: We did not find evidence that the assumed proportions are correct.
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