Insights into the concept of hypothesis testing (last Part)

When alpha is 0.025(z = 1.96) beta is 0.1866 and when alpha reduces to 0.005 (z = 2.55) beta increases to 0.3538.

When alpha is 0.025

Alpha is 0.025 and Beta is 0.1861

Alpha is 0.005 and Beta is 0.3583

The mathematics mentioned above is explained in this image