You wish to test the following claim ($\displaystyle {H}_{{a}}$) at a significance level of $\displaystyle \alpha={0.05}$.

      $\displaystyle {H}_{{o}}:{p}={0.13}$
      $\displaystyle {H}_{{a}}:{p}\ne{0.13}$

You obtain a sample of size $\displaystyle {n}={252}$ in which there are 50 successful observations. 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 critical value for this test? (Report answer accurate to three decimal places.)
critical value = $\displaystyle \pm$

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

The test statistic is...

This test statistic leads to a decision to...

As such, the final conclusion is that...