Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution: H0 : pA=0.1; pB=0.3; pC=0.4; pD=0.2 CategoryObservedFrequencyExpectedFrequencyA32 B43 C50 D21 Complete the table for the expected frequencies.What is the chi-square test statistic for this data? Round to three decimal places. χ2= What is the pp-value? Round to four decimal places.p-value = Testing the claim at a α=0.005 significance level, what would be the conclusion of this hypothesis test?Fail to reject the Null Hypothesis.Reject the Null Hypothesis.

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Answered: Given the 4 categories and…

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 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution:

H0 : pA=0.1; pB=0.3; pC=0.4; pD=0.2

Complete the table for the expected frequencies.
What is the chi-square test statistic for this data? Round to three decimal places.
χ2=
What is the pp-value? Round to four decimal places.
p-value =
Testing the claim at a α=0.005 significance level, what would be the conclusion of this hypothesis test?
- Fail to reject the Null Hypothesis.
- Reject the Null Hypothesis.