You wish to test the following claim ($\displaystyle {H}_{{a}}$) at a significance level of $\displaystyle \alpha={0.002}$.

      $\displaystyle {H}_{{o}}:{p}_{{1}}={p}_{{2}}$
      $\displaystyle {H}_{{a}}:{p}_{{1}}\ne{p}_{{2}}$

You obtain a sample from the first population with 161 successes and 230 failures. You obtain a sample from the second population with 260 successes and 422 failures. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

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 =

The p-value is...

This test statistic leads to a decision to...

As such, the final conclusion is that...