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It is important to keep the probability of making Type I equal to α. With a...

It is important to keep the probability of making Type I equal to α. With a t-test, how do we keep the probability of Type I error in check?

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Answer #1

Yes, we keep the type I error less than or equal the level of significance for the test. The level of significance for the test is mentioned at the start of the test. After the test is completed, the p-value which is the probability of getting the sample statistics for the true null hypothesis is true is compared with the level of significance.

When the p-value < level of significance, the test is significant and we can reject the null hypothesis.

When the p-value > level of significance, the test is not significant and we cannot reject the null hypothesis here.

Therefore this is how we use the level of significance in any test like a t test.

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