two types of errors in hypothesis test

Type 1 error :when Ho is true ,a hypothesis test conclusion rejects Ho and accepets H1 due to sampling chance to be P<a,where a is the probability of type 1 error

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Type2 error:when H0 is not true but H1 is established,a hypothesis test conclusions rejected H1 and accepted the H0 due to sampling chance P>a,the probability of type2 error is indicated by B