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I'm doing some blind tests to try to prove I can tell interconnect cables apart. I have a statistics question.
My understanding is that we have a "null hypothesis" which is that the cables can't be told apart. If I do well enough then we can reject the null hypothesis with a certain level of significance.
For example, I'm not sure if the numbers here are right, but if I do 16 trials and get 12 right, then there is a 5% chance I was guessing, so the null hypothesis has been rejected with a 5% level of significance.
My question now is: let's say I'm able to get a correct identification 80% of the time. How many trials would be needed for a 5% level of significance? For a 1% level of significance? For a 0.1% level?
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