Confidence interval - 0 means null hypothesis?

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Lothric

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Hey,

Look at the uploaded picture.

First aid gives an equation: CI for sample mean (should be sample and not population as picture shows)

They then talk about "If the 95 % CI for a mean difference between 2 variables includes 0 then null hypothesis is not rejected"

Does that only apply to the confidence interval for a mean difference between 2 variables? What if I use the given equation for a sample mean and it includes 0 in the intervals? That's not really involving a mean difference between 2 variables.

I.e., is the principle of 0 and null hypothesis only limited to the mean difference between 2 variables or does it apply for any confidence interval?
 

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