Question 1077934
Double the p-value you obtain here for a two-way test.  It is true that the 95th percentile critical value test statistic is 1.645, but when you make it a two-way test at 95%, the 5% is divided up on both sides, and the critical value is at the 2.5 and the 97.5 percentiles. If you have an alpha of 0.01, then you look at the z0.995 value, which is 2.576.  The p-value is 0.0969.