# Finding the test statistic for a majority hypothesis

In a survey of 1070 Ann Arbor residents, 59% supported a ban on bicycles on downtown sidewalks in certain areas with high pedestrian traffic. A city administrator wants to determine if a majority of all Ann Arbor residents support such a ban. She decides to conduct the hypotheses $H_0:\; p = 0.50$ versus $H_a:\; p > 0.50$ at a 5% significance level.

Calculate the appropriate test statistic value for testing the majority hypothesis.

Is it just $$z = \frac{0.59-0.50}{\sqrt{0.50(1-0.50)\big/1070}} = 5.89?$$

I'm confused, because it seems that the z value is very high. Any ideas?