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**VENI** Thank you here's what I have.

$\displaystyle \mbox{Witched:} \ m = 29, x = 5, \hat p_{1} = \frac{5}{29} = .1724$

$\displaystyle \mbox{Non witched:} \ n= 32, y =5, \hat p_{2} = \frac{5}{32} = .1563$

$\displaystyle \hat p = \frac{5+5}{29+32}=.1639, \hat q = 1 - \hat p = .8361$

$\displaystyle z = \frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p\hat q(\frac{1}{m}+\frac{1}{n}})}=\frac{.1724 - .1563}{\sqrt{(.1639)(.8361)(\frac{1}{29}+\frac{1}{ 32}})} = .1696$

Is this reasonably all I need? What else do I have to explain? Thank you.