Calculate the X² statistic, degree of freedom and then identify the critical value. Two employees at an ice cream store were discussing the popularity of four of the ice cream flavorsthey have: Vanilla, Chocolate, Mint, and Strawberry. Employee A thought that the four flavors areequally popular, but employee B didn't think so. To settle their debate, they decided to tally thenumber of customers asking for those flavors for a whole day.There were 40 customers that day:5 asked for vanilla15 asked for chocolate14 asked for Mint6 asked for strawberryConduct a Chi-Square Test for Goodness of Fit to answer the research question of whether the fourflavors are equally popular, using a = .05 as the significance level.

Answered: Calculate the X² statistic, degree of…

Math

Statistics

Calculate the X² statistic, degree of freedom and then identify the critical value.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 11CYU

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Question

Calculate the X² statistic, degree of freedom and then identify the critical value.

Two employees at an ice cream store were discussing the popularity of four of the ice cream flavors
they have: Vanilla, Chocolate, Mint, and Strawberry. Employee A thought that the four flavors are
equally popular, but employee B didn't think so. To settle their debate, they decided to tally the
number of customers asking for those flavors for a whole day.
There were 40 customers that day:
5 asked for vanilla
15 asked for chocolate
14 asked for Mint
6 asked for strawberry
Conduct a Chi-Square Test for Goodness of Fit to answer the research question of whether the four
flavors are equally popular, using a = .05 as the significance level.

Expert Solution

Step 1

It is given that, there are four ice cream flavors.

Vanilla, chocolate, Mint, and Strawberry.

No. of customers (n) = 40

No. of flavors (k) = 4

The observed frequencies are,

Flavor	O
Vanilla	5
Chocolate	15
Mint	14
Strawberry	6
total	40

Level of significance ( $α$ ) = 0.05

To test the given hypothesis using the Chi-square test.

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