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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 $\beta$?

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  • $\begingroup$ For the reference of my first sentence see 5.3.11 here. $\endgroup$ – user122424 Nov 10 '18 at 18:59
  • $\begingroup$ Could you please reword yopur last sentence "Rejection region is required to find $β$" ?I didn't catch the meaning of it. $\endgroup$ – user122424 Nov 10 '18 at 19:00
  • $\begingroup$ 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. $\endgroup$ – BruceET Nov 10 '18 at 21:17

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