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I don't like statistical tests, Samantha says grumpily. I think we should just always have very large samples; that way we can ensure that Type

"I don't like statistical tests," Samantha says grumpily. "I think we should just always have very large samples; that way we can ensure that Type 1 and Type 2 error are zero, no matter what phenomena we are studying and no matter what the true effect size is." Imagine for now that we live in a world with lots of resources and it is possible to always have very high sample size (though not infinite nor would we be sampling the entire population). Would this indeed permit both kinds of error to be zero or extremely close to zero Why or why not? A full credit answer will discuss the relationship between alpha, beta, effect size, and sample size; there is no need to include any equations or calculations, but your answer should give an intuitive sense of how these four factors are related and why.

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