You are conducting a test of homogeneity for the claim that two different populations have the same proportions of the following two characteristics. Here is the sample data.
Category Population
#1
Population
#2
A 46 83
B 20 39


The expected observations for this table would be
Category Population
#1
Population
#2
A
B


The resulting Pearson residuals are:
Category Population
#1
Population
#2
A
B


What is the chi-square test-statistic for this data?
χ2=\displaystyle \chi^{{2}}=

Report all answers accurate to three decimal places.