Confidence levels in confidence intervals

Confidence levels such as 90%, 95% and 99% can be confusing. This short video concentrates on the impact of the level of confidence on the width of the confidence interval.
See creativemaths.... for all of Dr Nic's videos organised by topic.
Other videos about confidence intervals are:
Understanding confidence intervals: • Understanding Confiden...
Calculating a confidence interval for a mean using a formula: • Calculating the Confid...
Confidence Intervals using bootstrapping (channel members' special): • Confidence Intervals U...
Calculating a confidence interval for a mean using Excel: • Confidence Interval fo...
A good follow-up to check understanding is the video: Confidence Intervals - a quiz to develop understanding. • Confidence Intervals -...

[@RaviShankar-jm1qw]

Fairly underrated channel. Dr Nic makes so so complex topics fairly easy to understand!!! Arguably one of the best stats channel out there. Till now before this video, I couldn't very well define Confidence Interval but now I can with ease.

[@DrNic]

That is wonderful to hear.

[@fizzytothewizzymynizzy]

Really insightful and to the point. Thank you for the very well structured content.

[@DrNic]

You're very welcome! I think hard about my videos so it's nice to be appreciated.

[@jishanzaman3421]

Recently it was my most important topic !!! Thankss!!

[@DrNic]

Glad it was helpful!

[@BlakLotus]

These explanations are SOO GOOD!!!!!!

[@DrNic]

Glad you like them!

[@amandhakal8939]

Excellent, Excellent, Excellent, Excellent

[@DrNic]

Many many thanks

[@AlaaElhamrawy]

Great explanation, Thank you Dr.Nic

[@DrNic]

You are welcome!

[@nilanjana1588]

You did great Mam.

[@DrNic]

Thanks - it's a tricky concept.

[@slemanbisharat6390]

Thanks great explanation , regarding confedince level : how do you know if a specific confedince interval contains the population parameter , if we don't know it ( after all we don't know the value of the true parameter ) ?

[@DrNic]

We don't know if the specific confidence interval contains the population parameter, which is why they are confidence intervals. Sometimes we simulate a real life situation so that we can show what is happening with a known population, but in real life we do not know.

[@slemanbisharat6390]

@@DrNic yes thank you , indeed with simulations I get the same percentage of coverage

[@eesa6463]

Excellent explanation madam.
Keep it up you are doing excellent work.

[@DrNic]

Thanks a lot. I used to get questions about this quite a bit, so I thought a video would be useful.

[@brazilfootball]

Why would we expect 95% of our C.I.'s from many different samples to contain the true population mean?

[@DrNic]

When we choose that level of confidence, then the Z or t value that we use in the formula ties in with the normal distribution so that we have that level of confidence.

[@navjothsingh6843]

Hi Dr Nic, I'm confused about the "net theory". I believe that the narrower is the confidence interval, the more precise will be the values obtained from a sample, thus being generalizable to the population.
The more is the confidence level, the higher is the chances to get a precise value, right? So, why wouldn't a higher confidence level cause the interval to be narrower as well, due to a narrower interval give rise to higher accuracy in relation to the population parameter.
I find these concepts conflicting, do you mind clearing my doubt? Thank you :)

[@DrNic]

This is a very common confusion, which is why I use the example of a net. The narrower you make the confidence interval, the less likely it is to contain the true population parameter. It may be more precise but it is also less likely to be correct. Taken to extremes, if you wanted to be 100% confident to include the population parameter, you would make the interval (or net) very wide. Or if you make the interval very small around the sample statistic, it is very precise, but quite likely that it has missed the population parameter.
Hope this helps - if not, ask again.

[@navjothsingh6843]

@@DrNic Ohh i see, I think now I got a better idea on how it works. Thanks Dr. Nic! 😄

[@eslamabdalmonem8457]

many thanks Doctor

[@DrNic]

Any time

[@hermanfs164]

Very good! Thanks

[@DrNic]

Glad you liked it!

[@k.daniellenelson6664]

Thank you

[@DrNic]

You are most welcome

[@gauthamambethkar4483]

The best video for confidence interval in UA-cam. Thank you so much.

[@DrNic]

Wow, thank you!

[@melesedesalegn2472]

i like it

[@DrNic]

Glad to hear it

[@jaykylehd20]

Confidence interval sucks

[@DrNic]

They seem really tricky to start with, but the more you use them, the clearer it becomes. Watch the whole playlist and you should get a clearer idea.

[@dr.ashuroulet7462]

Thanks ❤️❤️❤️

[@DrNic]

You're welcome 😊

[@leshowles749]

Most of these videos go too fast. Seems to be teaching someone who already has some prior understanding of these concepts but doesn’t address the needs of beginners trying to understand them.

[@DrNic]

You are correct. You can always pause, slow them down or rewind if you need to.

[@zaffrihaqimi4059]

i appreciate this video a lot 🙏 thank you so much ❤

[@DrNic]

You're so welcome!