You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:Ho : pA=0.15;  pB=0.4;  pC=0.3;  pD=0.15 Complete the table. Report all answers accurate to two decimal places, unless otherwise specified. Category Observed Frequency Expected Frequency A 26   B 55   C 38   D 23   What is the chi-square test-statistic for this data? (Round to two decimal places) χ2=χ2= What is the P-Value? (Round to four decimal places) P-Value = For significance level alpha 0.05, What would be the conclusion of this hypothesis test? Reject the Null Hypothesis Fail to reject the Null Hypothesis

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 10CT
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You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:Ho : pA=0.15;  pB=0.4;  pC=0.3;  pD=0.15

Complete the table. Report all answers accurate to two decimal places, unless otherwise specified.

Category Observed
Frequency
Expected
Frequency
A 26  
B 55  
C 38  
D 23  



What is the chi-square test-statistic for this data? (Round to two decimal places)
χ2=χ2=

What is the P-Value? (Round to four decimal places)
P-Value =


For significance level alpha 0.05,

What would be the conclusion of this hypothesis test?

  • Reject the Null Hypothesis
  • Fail to reject the Null Hypothesis
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