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

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

MATLAB: An Introduction with Applications
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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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.
Transcribed Image Text: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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