I am trying to understand the relationship between p-values and Type II error rate. Type II error occurs when there is failure to reject the null when it is false. As an example, suppose that I find that my results are not significant. In this case, the p-value is increased, or higher (in relation to the alpha level). If the p-value increases, then we are more likely to retain the null, and doesn't this increase Type II error? If this error increases, then the error rate also increases? Thanks.