question archive Someone looks at their SPSS or Stata regression output, and it says that the significance of their slope is

Someone looks at their SPSS or Stata regression output, and it says that the significance of their slope is

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Someone looks at their SPSS or Stata regression output, and it says that the significance of their slope is .000. They take this to mean that they can be 100% certain that their slope is not zero in the population of interest. Explain to them why they are incorrect in this assumption.

 

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The significance probability never truly 0. When it shows as 0.000, this just means that it is less than 0.001. No matter how many 0's are added, there will always be some chance (however tiny) that the results are random and the slope is actually 0.