Suppose are running a study/poll about the probability of a true negative on a test for a certain cancer. You randomly sample 81 people and find that 45 of them match the condition you are testing.

Suppose you are have the following null and alternative hypotheses for a test you are running:

H0:p=0.54\displaystyle {H}_{{0}}:{p}={0.54}
Ha:p0.54\displaystyle {H}_{{a}}:{p}≠{0.54}

Calculate the test statistic, rounded to 3 decimal places
z=\displaystyle {z}=