# p-value, hypotheses testing, type II error

In hypotheses testing, the $$p$$-value is the smallest significance level $$\alpha$$ at which the test rejects $$H_0$$ if $$H_0$$ is in fact true.

Is there a similar concept as is $$p$$-value also for the type-II error $$\beta$$?

• For the reference of my first sentence see 5.3.11 here. – user122424 Nov 10 '18 at 18:59
• Could you please reword yopur last sentence "Rejection region is required to find $β$" ?I didn't catch the meaning of it. – user122424 Nov 10 '18 at 19:00
• Erasing previous comment, which does not seem to have been helpful. Suggest you review definitions of significance level, p-value, Type I and II errors, & rejection region. – BruceET Nov 10 '18 at 21:17