Hypothesis Test for the Difference in Two Proportions

You wish to test the following claim $($Ha$)$ at a significance level of a$=0\mathrm{.}10$

$.$

Ho:p$1=$p$2$

Ha:p$1!=$p$2$

You obtain $71\mathrm{.}5\%$ successes in a sample of size n$1=793$

from the first population. You obtain $59\mathrm{.}1\%$ successes in a sample of size n$2=257$

from the second population.

What is the test statistic for this sample? $($Report answer accurate to three decimal places.$)$

test statistic $=$

What is the p$-$value for this sample? $($Report answer accurate to four decimal places.$)$

p$-$value $=$