You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.3pA=0.3; pB=0.1pB=0.1; pC=0.4pC=0.4; pD=0.2pD=0.2Complete the table. Report all answers accurate to three decimal places.CategoryObservedFrequencyExpectedFrequencyResidualA32 B38 C58 D36 What is the chi-square test-statistic for this data?χ2=χ2= For significance level alpha 0.01, what is the chi-square Critical Value?Critical Value = What would be the conclusion of this hypothesis test?Reject the Null HypothesisFail to reject the Null HypothesisReport all answers accurate to three decimal places.

The expected proportions of 4 categories are given.

Answered: You are conducting a multinomial…

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

You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.3pA=0.3; pB=0.1pB=0.1; pC=0.4pC=0.4; pD=0.2pD=0.2

Complete the table. Report all answers accurate to three decimal places.

Category	Observed Frequency	Expected Frequency	Residual
A	32
B	38
C	58
D	36

What is the chi-square test-statistic for this data?
χ2=χ2=

For significance level alpha 0.01, what is the chi-square Critical Value?
Critical Value =

What would be the conclusion of this hypothesis test?