Type 1 and Type 2 Error in relation to sample size
The following to help analyze the difference between TYPE 1 error (alpha, here on my x-axis) and TYPE 2 error (beta, here on my y-axis) on a probability distribution, p = 1/2. Moving the slider n changes your sample space, moving the slider b changes the multiple of how many standard deviations you want to be away from the mean. As sample space increases, we can reduce both TYPE 1 and TYPE 2, bringing us closer to the origin. For my work, I chose to look at the p=.65, but simply changing this in the formulas for alpha and beta will adjust the graph, then move the sliders as usual.