Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a α=0.05α=0.05 significance level. Category Observed Frequency Expected Frequency A 10   B 16   C 20   D 8   E 13   Complete the table by calculating the expected frequencies.  What is the chi-square test statistic? Round to three decimal places.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a α=0.05α=0.05 significance level.

Category Observed
Frequency
Expected
Frequency

A

10  
B 16  
C 20  
D 8  
E 13  
  1. Complete the table by calculating the expected frequencies. 

  2. What is the chi-square test statistic? Round to three decimal places.
    χ2=χ2= 

  3. What are the degrees of freedom?
    d.f.

  4. What is the pp-value for this sample? Round to four decimal places.
    pp-value = 

  5. Is the pp-value less than αα?    

  6. Make a decision.
         

  7. Make a conclusion.
    • 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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