Hypothesis Tests · Superchallenge problem

A two-sided $z$ test at $\alpha = 0.05$ rejects when $|z| > 1.96$. Suppose the true effect is positive and equal to exactly 1 standard error, so the observed $z$ is normal with mean 1 and standard deviation 1. What is the probability that the test rejects $H_0$ AND the estimate points in the WRONG direction (a significant negative $z$)? Round to four decimal places.