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 


A  25  
B  14  
C  16  
D  17  
E  7 
Report all answers accurate to three decimal places. But
retain unrounded numbers for future calculations.
What is the chisquare teststatistic for this data? (Report answer
accurate to three decimal places.)
χ2=χ2=
What are the degrees of freedom for this test?
d.f.=
What is the pvalue for this sample? (Report answer accurate to
four decimal places.)
pvalue =
The pvalue is...
This test statistic leads to a decision to...
As such, the final conclusion is that...
The statistical software output for this problem is :
Test statistics = 10.556
Degrees of freedom = 4
Pvalue = 0.0320
The pvalue is less than (or equal to) α
reject the null
There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.
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