You are conducting a Goodness of Fit Chi-Squared hypothesis test (α\displaystyle \alpha = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table.
Category Observed
Frequency
Expected
Frequency
((O-E)^2/E)
A 9
B 21
C 18
D 7
E 15
Round Expected values accurate to exactly 2 decimal places. Retain unrounded numbers for future calculations.
Round the ((O-E)^2/E) values to 3 decimals.

What is the chi-square test-statistic for this data? (Round answer to 3 decimal places, and remember to use the unrounded Pearson residuals in your calculations.)
χ2=\displaystyle \chi^{{2}}=

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

What is the p-value for this sample? (Round answer to 3 decimal places.)
p-value =


The p-value is...
This test statistic leads to a decision to...
As such, the final conclusion is that...