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Author Question: A 95 confidence interval means that 95 of all possible random samples will result in an interval ... (Read 106 times)

rmenurse

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on: Jul 24, 2018
A 95 confidence interval means that 95 of all possible random samples will result in an interval that contains the true population value, and 5 of them won't. How could a confidence interval that is based on a random sample not contain the true population value?

Question 2

Statisticians have a phrase, Being a statistician means never having to say you're certain.. Do you know whether the confidence interval constructed by your sample actually contains the true population value? Why or why not?


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djpooyouma

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Reply #1 on: Jul 24, 2018
Answer to Question 1

5 OF THE SAMPLE RESULTS WILL BE UNUSUALLY HIGH OR UNUSUALLY LOW COMPARED TO THE TRUE POPULATION VALUE, JUST BY CHANCE.

Answer to Question 2

NO, BECAUSE SAMPLE RESULTS VARY. 95 OF THE SAMPLES WILL RESULT IN CONFIDENCE INTERVALS THAT ARE CORRECT, AND 5 WON'T. YOU NEVER KNOW WHETHER A PARTICULAR CONFIDENCE INTERVAL IS CORRECT UNLESS THE TRUTH IS REVEALED AT SOME FUTURE DATE.


rmenurse

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Reply 2 on: Jul 24, 2018
Great answer, keep it coming :)

ricroger

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Reply 3 on: Yesterday
Thanks for the timely response, appreciate it

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