Accept/Reject Null Hypothesis Using Confidence Intervals

  • Context: Undergrad 
  • Thread starter Thread starter blumfeld0
  • Start date Start date
  • Tags Tags
    intervals
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
4 replies · 4K views
blumfeld0
Messages
146
Reaction score
0
Hello. I am teaching myself statistics and my question is about confidence intervals. I understand that I can accept or reject a null hypothesis based on comparing my p values to the significance value (say .05)
But how do i accept or reject a null hypothesis based SOLELY on
a given confidence intervals say -12 to 1.4?
thanks

blumfeld0
 
Physics news on Phys.org
Say you have a confidence interval of 99% confidence, and the range is (-12, 1.4). If you have a number that lies outside of that range (let's say 1.9), then you can reject [itex]H_0[/itex] (and accept [itex]H_a[/itex]) at [itex]\alpha = .01[/itex]. If the number does lie inside that range (let's say -3), then you accept [itex]H_0[/itex] (and reject [itex]H_a[/itex]).
 
Last edited:
Hi. Thanks for your reply. That is the problem. A colleaugue of mine told me that you can accept or reject the null hypothesis solely given the confidence interval without being given the actual data or significance level (99%, 95%)
Is he right?
if so how?
thanks

blumfeld0
 
a confidence level always has a significance level associated with it, so no.