Will we incur a higher Beta error at a alpha level of 0.05 oran alpha level of 0

Question

Will we incur a higher Beta error at a alpha level of 0.05 oran alpha level of 0.01? Why? I keep confusing myself!! Beta error is Type II error, which is when we fail to rejectnull when the null is false (or should have been rejected). The way I think of it, at an alpha level of 0.01, we would have alower beta rate since more would be rejected. Right?? Please help! Test Tomorrow! Will we incur a higher Beta error at a alpha level of 0.05 oran alpha level of 0.01? Why? I keep confusing myself!! Beta error is Type II error, which is when we fail to rejectnull when the null is false (or should have been rejected). The way I think of it, at an alpha level of 0.01, we would have alower beta rate since more would be rejected. Right?? Please help! Test Tomorrow!

Explanation / Answer

When alpha value is decreases from 0.05 to 0.01 then betaincreases. Since Type-I error and Type-II errors inverslyproportional to each other.

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