As the probability of making a Type I error goes down by making a more stringent, the probability of making a Type II error goes up.

Name: As the probability of making a Type I error goes down by making a more stringent, the probability of making a Type II error goes up.
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This is known as the trade-off between Type I and Type II errors. As the probability of rejecting a true null hypothesis (Type I error) decreases, the probability of failing to reject a false null hypothesis (Type II error) increases.

As the Probability of Making a Type I Error Goes