Basic Question for Hypothesis Testing

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Does probability of type 2 error decrease when probability of type 1 error increases?

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Yes.

Explanation:

Type I error and Type 2 error have an inverse relationship. If probability of one error is decreased, the other one will increase. Typically, we cannot simultaneously reduce type I and Type II error.
But there is one way to reduce both simultaneously, i.e, by increasing sample size.

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