Das maximale signifikanzniveau des Tests: “LehneHo ab, wennk untern gegebenen tests zur ablehnung führen”

SummaryOn one sample space there aren tests with critical regionsK1 and levels of significance αi,i=1, ...,n (resp.n eventsKi in a probability space with probabilities not greater than αi,i=1, ...,n). In this paper we calculate the smallest upper bound of the level of significance of the test “reject the hypothesis, if at leastk among the,n tests do so” (resp. of the probability of the event “at leastk among then events are realized”). By the way, we will show, that this smallest upper bound does not change, if we replace “at leastk” by “exactlyk.”