Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a α=0.05α=0.05 significance level.CategoryObservedFrequencyExpectedFrequencyA10 B16 C20 D8 E13 Complete the table by calculating the expected frequencies. What is the chi-square test statistic? Round to three decimal places.χ2=χ2= What are the degrees of freedom?d.f.= What is the pp-value for this sample? Round to four decimal places.pp-value = Is the pp-value less than αα? 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.

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Answered: Given the 5 categories in the table…

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=0.05α=0.05 significance level.

Complete the table by calculating the expected frequencies.
What is the chi-square test statistic? Round to three decimal places.
χ2=χ2=
What are the degrees of freedom?
d.f.=
What is the pp-value for this sample? Round to four decimal places.
pp-value =
Is the pp-value less than αα?
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.