Question

Assume a trial involves three independent tests. What is the complementary event for the event that we would reject one or more of the three null hypotheses?

Give an example of complementary event.

Answer 1

here complement of the event of reject one or more of the three null hypotheses is fail to reject all of three null hypotheses.

as we know that event with its complementary event has all of sample space covered , therefore a complementary event is which includes all of the outcomes which are not included in the event to which it is complementary of,

for example in case of rolling a die: complementary event of getting a 1 is getting either 2,3,4,5,6.

or complementary event of getting an odd number 1,3,5 is getting an even number either 2,4,6.