Suppose we design a statistical testing procedure to determine whether or not a

Question

Suppose we design a statistical testing procedure to determine whether or not a batch of some product meet safety specifications. Unfortunatly, when we run the numbers, it turns out that while the power is high enough (meaning beta is sufficiently low), alpha (the type-I error rate) is too high. Is it possible to redesign the test (without conducting a different kind of test, like switching to a z-test when the first one was done with a t-test) so that beta remains constant but we nevertheless reduce alpha?

True or False Suppose we design a statistical testing procedure to determine whether or not a batch of some product meet safety specifications. Unfortunatly, when we run the numbers, it turns out that while the power is high enough (meaning beta is sufficiently low), alpha (the type-I error rate) is too high. Is it possible to redesign the test (without conducting a different kind of test, like switching to a z-test when the first one was done with a t-test) so that beta remains constant but we nevertheless reduce alpha?

True or False
True or False

Explanation / Answer

True.

We can redesign the test so that beta remains constant but we nevertheless reduce alpha.

This is done by first keeping the sample size same. If sample size is increased, power increases and beta decreases.

Then increase the confidence level. This will increase alpha.

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