You are conducting a multinomial hypothesis test (αα = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category Observed Frequency Expected Frequency Squared Pearson Residual A 14     B 6     C 20     D 16     E 5     Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurat

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You are conducting a multinomial hypothesis test (αα = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table.

Category Observed
Frequency
Expected
Frequency
Squared
Pearson
Residual
A 14    
B 6    
C 20    
D 16    
E 5    

Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations.

What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.)
χ2=

What are the degrees of freedom for this test?
d.f.

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = 
It may be best to use the =CHIDIST() function in Excel to do this calculation.

The p-value is...

  • less than (or equal to) αα
  • greater than αα



This test statistic leads to a decision to...

  • reject the null
  • accept the null
  • fail to reject the null
  • accept the alternative



As such, the final conclusion is that...

  • 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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