You are conducting a Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:  H0H0 : pA=0.3pA=0.3;  pB=0.1pB=0.1;  pC=0.1pC=0.1;  pD=0.5pD=0.5  Give all answers as decimals rounded to 3 places after the decimal point, if necessary. Complete the table: Category Observed Frequency Expected Frequency A 33   B 21   C 10   D 38   What is the chi-square test-statistic for this data? Test Statistic: χ2=χ2=  For a significance of level alpha = 0.05, what is the chi-square critical value? Critical Value: χ2=χ2=  What would be the decision of this hypothesis test? Fail to reject H0H0 Reject H0

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

You are conducting a Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:

 H0H0 : pA=0.3pA=0.3;  pB=0.1pB=0.1;  pC=0.1pC=0.1;  pD=0.5pD=0.5 

Give all answers as decimals rounded to 3 places after the decimal point, if necessary.

Complete the table:

Category Observed
Frequency
Expected
Frequency
A 33  
B 21  
C 10  
D 38  

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

For a significance of level alpha = 0.05, what is the chi-square critical value?
Critical Value: χ2=χ2= 

What would be the decision of this hypothesis test?

  • Fail to reject H0H0
  • Reject H0
Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman