Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a α=0.05 significance level.CategoryObservedFrequencyExpectedFrequencyA7 B7 C22 D10 E19 Complete the table by calculating the expected frequencies. What is the chi-square test statistic? Round to three decimal places.χ2= What are the degrees of freedom?d.f.= What is the pp-value for this sample? Round to four decimal places.p-value = Is the p-value less than α? Make a decision. Make a conclusion.There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.The sample data support the claim that all 5 categories are equally likely to be selected.There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.

“Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts for you. To get the remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.” Category Observed Expected (O-E)^2 (O-E)^2/E A 7 13 36 2.769231 B 7 13 36 2.769231 C 22 13 81 6.230769 D 10 13 9 0.692308 E 19 13 36 2.769231 Total 65 65 198 15.23077

Answered: Given the 5 categories in the table…

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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Question

Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a α=0.05 significance level.

Category	Observed Frequency	Expected Frequency
A	7
B	7
C	22
D	10
E	19

Complete the table by calculating the expected frequencies.
What is the chi-square test statistic? Round to three decimal places.
χ2=
What are the degrees of freedom?
d.f.=
What is the pp-value for this sample? Round to four decimal places.
p-value =
Is the p-value less than α?
Make a decision.
Make a conclusion.
- There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.
- There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.
- The sample data support the claim that all 5 categories are equally likely to be selected.
- There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.