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what happens to the probability of committing a type i error if the level of significance is changed from a

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If the level of significance is changed from α to a smaller value, say α', then the probability of committing a Type I error will decrease. This is because the level of significance represents the maximum allowable probability of committing a Type I error. By decreasing the level of significance, we are reducing the probability of rejecting the null hypothesis when it is actually true. This in turn reduces the probability of committing a Type I error. On the other hand, if the level of significance is changed from α to a larger value, say α'', then the probability of committing a Type I error will increase. This is because we are increasing the maximum allowable probability of rejecting the null hypothesis when it is actually true, which in turn increases the probability of committing a Type I error.
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