Calculate the X² statistic, degree of freedom and then identify the critical value.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Calculate the X² statistic, degree of freedom and then identify the critical value.

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 () = 0.05
To test the given hypothesis using the Chi-square test.
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