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If we reject the null hypothesis and we were wrong to do so, what type of...

If we reject the null hypothesis and we were wrong to do so, what type of error have we made? Give an example of a research situation in which this could occur.

Math   Statistics-And-Probability   
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Answer #1

Type 1 error is rejection of true null hypothesis and Type 2 error is non-rejection of full null hypothesis

Here we reject the null hypothesis and we were wrong to do so, hence it is Type 1 error

For example, we are testing the hypothesis that population mean is less than 40

So hypothesis is vs

Now after test we conclude that mean is less than 40, so we rejected the null hypothesis, but it is wrong and mean is equal to 40. So Type 1 error.

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