You are conducting a multinomial hypothesis test (α= 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table.CategoryObservedFrequencyExpectedFrequency A19 B21 C5 D20 E10 What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places.)χ2=What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is...less than (or equal to) ααgreater than ααThis test statistic leads to a decision to...reject the nullaccept the nullfail to reject the nullaccept the alternativeAs such, the final conclusion is that...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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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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You are conducting a multinomial hypothesis test (α= 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table.

Category	Observed Frequency	Expected Frequency
A	19
B	21
C	5
D	20
E	10

What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places.)
χ2=

What are the degrees of freedom for this test?
d.f.=

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

less than (or equal to) αα
greater than αα

This test statistic leads to a decision to...

reject the null
accept the null
fail to reject the null
accept the alternative

As such, the final conclusion is that...

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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