Let’s say we run an experiment with a null hypothesis that a population mean is

Question

Let’s say we run an experiment with a null hypothesis that a population mean is equal to 0. After performing a test about the mean, we get a p-value of 0.04, and we decide to reject the null hypothesis. However, later on, after further testing and reading relevant publications, we realize that the true population mean really is 0. What type of error did we commit when we rejected the null hypothesis at p = 0.04? Answer and explain this for me please! Thanks! Let’s say we run an experiment with a null hypothesis that a population mean is equal to 0. After performing a test about the mean, we get a p-value of 0.04, and we decide to reject the null hypothesis. However, later on, after further testing and reading relevant publications, we realize that the true population mean really is 0. What type of error did we commit when we rejected the null hypothesis at p = 0.04? Answer and explain this for me please! Thanks! Answer and explain this for me please! Thanks!

Explanation / Answer

This is a type 1 error

Because rejection of null hypothesis when it is actually true is a type 1 error.

Here initially using p-value we reject null hypothesis that population mean =0; but after it realise that population mean is =0

So here we rejected null hypothesis when it is actually true.

So this is a type 1 error.

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