Question

I need the answer of this question ASAP

1. Assuming that all other factors are kept constant, if an alpha is changed from α= .01 to α=.05:

a) What happens to the boundaries for the critical region?

b) What happens to the probability of a type I error?

c) What happens to the power of the hypothesis test?

Answer 1

Here level of significance is increased from α= .01 to α=.05

So

a) As the level of significance is increased from α= .01 to α=.05, the critical region will become wider so boundaries will shrink.

b) type I error is the level of significance only so as the level of significance is increased from α= .01 to α=.05 then type I error will also increase.

c) The power of the test is directly proportional to type -1 error and so directly proportional to the level of significance

So if the level of significance is increased from α= .01 to α=.05 then power will also increase.

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