Answer
Yes.
Work Step by Step
$H_o:$ At $\alpha=$0.10, there is not sufficient evidence to conclude a dependent relationship between gender and procedure.
$H_a:$ At $\alpha=$0.10, there is sufficient evidence to conclude a dependent relationship between gender and procedure.
$df=(3-1)(2-1)=2, \chi^2_c=4.605$
Calculate the expected values based on the data table.
Men 406.6375661 276.2890212 260.0734127
Women 245.3624339 166.7109788 156.9265873
Calculate $\chi^2=\sum\frac{(O-E)^2}{E}=59.95$
As $\chi^2>4.605$ we reject the null hypothesis.
At α=0.10, there is sufficient evidence to conclude a dependent relationship between gender and procedure.